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Atlas › Integer Profiles › Node 39,488,992

39,488,992

25 × 19 × 107 × 607
Abundant Even Composite

39,488,992 factors as 2^5 × 19 × 107 × 607. Its 48 positive divisors give a proper-divisor sum of 43,247,648, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 107 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,736,640
Proper Divisor Sum 43,247,648
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #39488983 ← → #39489013

Radix Representation

Decimal 39488992
Binary 10010110101000110111100000 (26 bits)
Octal 0o226506740
Hexadecimal 0x25A8DE0

Divisor Catalog (48)

1 2 4 8 16 19 32 38 76 107 152 214 304 428 607 608 856 1,214 1,712 2,033 2,428 3,424 4,066 4,856 8,132 9,712 11,533 16,264 19,424 23,066 32,528 46,132 64,949 65,056 92,264 129,898 184,528 259,796 369,056 519,592 1,039,184 1,234,031 2,078,368 2,468,062 4,936,124 9,872,248 19,744,496 39,488,992

Collatz Trajectory (147 steps to reach 1)

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

39,488,992 19,744,496 9,872,248 4,936,124 2,468,062 1,234,031 3,702,094 1,851,047 5,553,142 2,776,571 8,329,714 4,164,857 12,494,572 6,247,286 3,123,643 9,370,930 4,685,465 14,056,396 7,028,198 3,514,099 10,542,298 5,271,149 15,813,448 7,906,724 3,953,362 1,976,681 5,930,044 2,965,022 1,482,511 4,447,534 2,223,767 6,671,302 3,335,651 10,006,954 5,003,477 15,010,432 7,505,216 3,752,608 1,876,304 938,152 469,076 234,538 117,269 351,808 175,904 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959

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