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Atlas › Integer Profiles › Node 39,006,016

39,006,016

26 × 7 × 83 × 1049
Abundant Even Composite

39,006,016 factors as 2^6 × 7 × 83 × 1049. Its 56 positive divisors give a proper-divisor sum of 50,605,184, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 83 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 89,611,200
Proper Divisor Sum 50,605,184
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #39006001 ← → #39006049

Radix Representation

Decimal 39006016
Binary 10010100110010111101000000 (26 bits)
Octal 0o224627500
Hexadecimal 0x2532F40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1,049 1,162 1,328 2,098 2,324 2,656 4,196 4,648 5,312 7,343 8,392 9,296 14,686 16,784 18,592 29,372 33,568 37,184 58,744 67,136 87,067 117,488 174,134 234,976 348,268 469,952 609,469 696,536 1,218,938 1,393,072 2,437,876 2,786,144 4,875,752 5,572,288 9,751,504 19,503,008 39,006,016

Collatz Trajectory (209 steps to reach 1)

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

39,006,016 19,503,008 9,751,504 4,875,752 2,437,876 1,218,938 609,469 1,828,408 914,204 457,102 228,551 685,654 342,827 1,028,482 514,241 1,542,724 771,362 385,681 1,157,044 578,522 289,261 867,784 433,892 216,946 108,473 325,420 162,710 81,355 244,066 122,033 366,100 183,050 91,525 274,576 137,288 68,644 34,322 17,161 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874

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