λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,727,751
4,727,751
3 × 7 × 172 × 19 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17^2 × 19 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,252,160
Proper Divisor Sum 3,524,409
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4727747 ← → #4727761

Radix Representation

Decimal 4727751
Binary 10010000010001111000111 (23 bits)
Octal 0o22021707
Hexadecimal 0x4823C7

Divisor Catalog (48)

1 3 7 17 19 21 41 51 57 119 123 133 287 289 323 357 399 697 779 861 867 969 2,023 2,091 2,261 2,337 4,879 5,453 5,491 6,069 6,783 11,849 13,243 14,637 16,359 16,473 35,547 38,437 39,729 82,943 92,701 115,311 225,131 248,829 278,103 675,393 1,575,917 4,727,751

Collatz Trajectory (123 steps to reach 1)

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

4,727,751 14,183,254 7,091,627 21,274,882 10,637,441 31,912,324 15,956,162 7,978,081 23,934,244 11,967,122 5,983,561 17,950,684 8,975,342 4,487,671 13,463,014 6,731,507 20,194,522 10,097,261 30,291,784 15,145,892 7,572,946 3,786,473 11,359,420 5,679,710 2,839,855 8,519,566 4,259,783 12,779,350 6,389,675 19,169,026 9,584,513 28,753,540 14,376,770 7,188,385 21,565,156 10,782,578 5,391,289 16,173,868 8,086,934 4,043,467 12,130,402 6,065,201 18,195,604 9,097,802 4,548,901 13,646,704 6,823,352 3,411,676 1,705,838 852,919 2,558,758 1,279,379 3,838,138 1,919,069 5,757,208 2,878,604 1,439,302 719,651 2,158,954 1,079,477

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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