261,532

2² × 151 × 433

261,532 factors as 2^2 × 151 × 433. Its 12 positive divisors give a proper-divisor sum of 200,244, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 151 × 433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 461,776

Proper Divisor Sum 200,244

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #261529 ← → #261557

Radix Representation

Decimal	261532
Binary	111111110110011100 (18 bits)
Octal	0o776634
Hexadecimal	0x3FD9C

Divisor Catalog (12)

1 2 4 151 302 433 604 866 1,732 65,383 130,766 261,532

Collatz Trajectory (225 steps to reach 1)

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

261,532 130,766 65,383 196,150 98,075 294,226 147,113 441,340 220,670 110,335 331,006 165,503 496,510 248,255 744,766 372,383 1,117,150 558,575 1,675,726 837,863 2,513,590 1,256,795 3,770,386 1,885,193 5,655,580 2,827,790 1,413,895 4,241,686 2,120,843 6,362,530 3,181,265 9,543,796 4,771,898 2,385,949 7,157,848 3,578,924 1,789,462 894,731 2,684,194 1,342,097 4,026,292 2,013,146 1,006,573 3,019,720 1,509,860 754,930 377,465 1,132,396 566,198 283,099 849,298 424,649 1,273,948 636,974 318,487 955,462 477,731 1,433,194 716,597 2,149,792

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