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Atlas › Integer Profiles › Node 39,487,149

39,487,149

33 × 13 × 19 × 31 × 191
Deficient Odd Composite

39,487,149 factors as 3^3 × 13 × 19 × 31 × 191. Its 64 positive divisors give a proper-divisor sum of 29,325,651, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 19 × 31 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 68,812,800
Proper Divisor Sum 29,325,651
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #39487117 ← → #39487163

Radix Representation

Decimal 39487149
Binary 10010110101000011010101101 (26 bits)
Octal 0o226503255
Hexadecimal 0x25A86AD

Divisor Catalog (60 of 64)

1 3 9 13 19 27 31 39 57 93 117 171 191 247 279 351 403 513 573 589 741 837 1,209 1,719 1,767 2,223 2,483 3,627 3,629 5,157 5,301 5,921 6,669 7,449 7,657 10,881 10,887 15,903 17,763 22,347 22,971 32,661 47,177 53,289 67,041 68,913 76,973 97,983 112,499 141,531 159,867 206,739 230,919 337,497 424,593 692,757 1,012,491 1,273,779 1,462,487 2,078,271

Collatz Trajectory (147 steps to reach 1)

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

39,487,149 118,461,448 59,230,724 29,615,362 14,807,681 44,423,044 22,211,522 11,105,761 33,317,284 16,658,642 8,329,321 24,987,964 12,493,982 6,246,991 18,740,974 9,370,487 28,111,462 14,055,731 42,167,194 21,083,597 63,250,792 31,625,396 15,812,698 7,906,349 23,719,048 11,859,524 5,929,762 2,964,881 8,894,644 4,447,322 2,223,661 6,670,984 3,335,492 1,667,746 833,873 2,501,620 1,250,810 625,405 1,876,216 938,108 469,054 234,527 703,582 351,791 1,055,374 527,687 1,583,062 791,531 2,374,594 1,187,297 3,561,892 1,780,946 890,473 2,671,420 1,335,710 667,855 2,003,566 1,001,783 3,005,350 1,502,675

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