1,261,532

2² × 113 × 2791

Starting at 1,261,532, the Collatz iteration reaches 1 after 129 steps. The first transition is 630766; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 113 × 2791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,228,016

Proper Divisor Sum 966,484

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1261531 ← → #1261549

Radix Representation

Decimal	1261532
Binary	100110011111111011100 (21 bits)
Octal	0o4637734
Hexadecimal	0x133FDC

Divisor Catalog (12)

1 2 4 113 226 452 2,791 5,582 11,164 315,383 630,766 1,261,532

Collatz Trajectory (129 steps to reach 1)

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

1,261,532 630,766 315,383 946,150 473,075 1,419,226 709,613 2,128,840 1,064,420 532,210 266,105 798,316 399,158 199,579 598,738 299,369 898,108 449,054 224,527 673,582 336,791 1,010,374 505,187 1,515,562 757,781 2,273,344 1,136,672 568,336 284,168 142,084 71,042 35,521 106,564 53,282 26,641 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336

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