λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,908,072
46,908,072
23 × 34 × 191 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 191 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 132,422,400
Proper Divisor Sum 85,514,328
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #46908061 ← → #46908077

Radix Representation

Decimal 46908072
Binary 10110010111100001010101000 (26 bits)
Octal 0o262741250
Hexadecimal 0x2CBC2A8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 379 382 573 648 758 764 1,137 1,146 1,516 1,528 1,719 2,274 2,292 3,032 3,411 3,438 4,548 4,584 5,157 6,822 6,876 9,096 10,233 10,314 13,644 13,752 15,471 20,466 20,628 27,288 30,699 30,942 40,932 41,256 61,398 61,884 72,389 81,864 122,796 123,768

Collatz Trajectory (186 steps to reach 1)

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

46,908,072 23,454,036 11,727,018 5,863,509 17,590,528 8,795,264 4,397,632 2,198,816 1,099,408 549,704 274,852 137,426 68,713 206,140 103,070 51,535 154,606 77,303 231,910 115,955 347,866 173,933 521,800 260,900 130,450 65,225 195,676 97,838 48,919 146,758 73,379 220,138 110,069 330,208 165,104 82,552 41,276 20,638 10,319 30,958 15,479 46,438 23,219 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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