λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,356,915
76,356,915
3 × 5 × 192 × 59 × 239
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 19^2 × 59 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 131,673,600
Proper Divisor Sum 55,316,685
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #76356899 ← → #76356967

Radix Representation

Decimal 76356915
Binary 100100011010001110100110011 (27 bits)
Octal 0o443216463
Hexadecimal 0x48D1D33

Divisor Catalog (48)

1 3 5 15 19 57 59 95 177 239 285 295 361 717 885 1,083 1,121 1,195 1,805 3,363 3,585 4,541 5,415 5,605 13,623 14,101 16,815 21,299 22,705 42,303 63,897 68,115 70,505 86,279 106,495 211,515 258,837 267,919 319,485 431,395 803,757 1,294,185 1,339,595 4,018,785 5,090,461 15,271,383 25,452,305 76,356,915

Collatz Trajectory (347 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

76,356,915 229,070,746 114,535,373 343,606,120 171,803,060 85,901,530 42,950,765 128,852,296 64,426,148 32,213,074 16,106,537 48,319,612 24,159,806 12,079,903 36,239,710 18,119,855 54,359,566 27,179,783 81,539,350 40,769,675 122,309,026 61,154,513 183,463,540 91,731,770 45,865,885 137,597,656 68,798,828 34,399,414 17,199,707 51,599,122 25,799,561 77,398,684 38,699,342 19,349,671 58,049,014 29,024,507 87,073,522 43,536,761 130,610,284 65,305,142 32,652,571 97,957,714 48,978,857 146,936,572 73,468,286 36,734,143 110,202,430 55,101,215 165,303,646 82,651,823 247,955,470 123,977,735 371,933,206 185,966,603 557,899,810 278,949,905 836,849,716 418,424,858 209,212,429 627,637,288

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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