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Atlas › Integer Profiles › Node 25,754,952

25,754,952

23 × 3 × 691 × 1553
Abundant Even Composite

25,754,952 factors as 2^3 × 3 × 691 × 1553. Its 32 positive divisors give a proper-divisor sum of 38,767,128, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 691 × 1553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,522,080
Proper Divisor Sum 38,767,128
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #25754951 ← → #25754957

Radix Representation

Decimal 25754952
Binary 1100010001111110101001000 (25 bits)
Octal 0o142176510
Hexadecimal 0x188FD48

Divisor Catalog (32)

1 2 3 4 6 8 12 24 691 1,382 1,553 2,073 2,764 3,106 4,146 4,659 5,528 6,212 8,292 9,318 12,424 16,584 18,636 37,272 1,073,123 2,146,246 3,219,369 4,292,492 6,438,738 8,584,984 12,877,476 25,754,952

Collatz Trajectory (242 steps to reach 1)

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

25,754,952 12,877,476 6,438,738 3,219,369 9,658,108 4,829,054 2,414,527 7,243,582 3,621,791 10,865,374 5,432,687 16,298,062 8,149,031 24,447,094 12,223,547 36,670,642 18,335,321 55,005,964 27,502,982 13,751,491 41,254,474 20,627,237 61,881,712 30,940,856 15,470,428 7,735,214 3,867,607 11,602,822 5,801,411 17,404,234 8,702,117 26,106,352 13,053,176 6,526,588 3,263,294 1,631,647 4,894,942 2,447,471 7,342,414 3,671,207 11,013,622 5,506,811 16,520,434 8,260,217 24,780,652 12,390,326 6,195,163 18,585,490 9,292,745 27,878,236 13,939,118 6,969,559 20,908,678 10,454,339 31,363,018 15,681,509 47,044,528 23,522,264 11,761,132 5,880,566

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