λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,307,256
39,307,256
23 × 31 × 353 × 449
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 31 × 353 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 76,464,000
Proper Divisor Sum 37,156,744
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #39307237 ← → #39307259

Radix Representation

Decimal 39307256
Binary 10010101111100011111111000 (26 bits)
Octal 0o225743770
Hexadecimal 0x257C7F8

Divisor Catalog (32)

1 2 4 8 31 62 124 248 353 449 706 898 1,412 1,796 2,824 3,592 10,943 13,919 21,886 27,838 43,772 55,676 87,544 111,352 158,497 316,994 633,988 1,267,976 4,913,407 9,826,814 19,653,628 39,307,256

Collatz Trajectory (170 steps to reach 1)

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

39,307,256 19,653,628 9,826,814 4,913,407 14,740,222 7,370,111 22,110,334 11,055,167 33,165,502 16,582,751 49,748,254 24,874,127 74,622,382 37,311,191 111,933,574 55,966,787 167,900,362 83,950,181 251,850,544 125,925,272 62,962,636 31,481,318 15,740,659 47,221,978 23,610,989 70,832,968 35,416,484 17,708,242 8,854,121 26,562,364 13,281,182 6,640,591 19,921,774 9,960,887 29,882,662 14,941,331 44,823,994 22,411,997 67,235,992 33,617,996 16,808,998 8,404,499 25,213,498 12,606,749 37,820,248 18,910,124 9,455,062 4,727,531 14,182,594 7,091,297 21,273,892 10,636,946 5,318,473 15,955,420 7,977,710 3,988,855 11,966,566 5,983,283 17,949,850 8,974,925

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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