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Atlas › Integer Profiles › Node 25,596,352

25,596,352

26 × 43 × 71 × 131
Abundant Even Composite

25,596,352 factors as 2^6 × 43 × 71 × 131. Its 56 positive divisors give a proper-divisor sum of 27,512,000, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^6 × 43 × 71 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 53,108,352
Proper Divisor Sum 27,512,000
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #25596343 ← → #25596353

Radix Representation

Decimal 25596352
Binary 1100001101001000111000000 (25 bits)
Octal 0o141510700
Hexadecimal 0x18691C0

Divisor Catalog (56)

1 2 4 8 16 32 43 64 71 86 131 142 172 262 284 344 524 568 688 1,048 1,136 1,376 2,096 2,272 2,752 3,053 4,192 4,544 5,633 6,106 8,384 9,301 11,266 12,212 18,602 22,532 24,424 37,204 45,064 48,848 74,408 90,128 97,696 148,816 180,256 195,392 297,632 360,512 399,943 595,264 799,886 1,599,772 3,199,544 6,399,088 12,798,176 25,596,352

Collatz Trajectory (97 steps to reach 1)

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

25,596,352 12,798,176 6,399,088 3,199,544 1,599,772 799,886 399,943 1,199,830 599,915 1,799,746 899,873 2,699,620 1,349,810 674,905 2,024,716 1,012,358 506,179 1,518,538 759,269 2,277,808 1,138,904 569,452 284,726 142,363 427,090 213,545 640,636 320,318 160,159 480,478 240,239 720,718 360,359 1,081,078 540,539 1,621,618 810,809 2,432,428 1,216,214 608,107 1,824,322 912,161 2,736,484 1,368,242 684,121 2,052,364 1,026,182 513,091 1,539,274 769,637 2,308,912 1,154,456 577,228 288,614 144,307 432,922 216,461 649,384 324,692 162,346

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