1,405,261

11 × 13 × 31 × 317

Starting at 1,405,261, the Collatz iteration reaches 1 after 129 steps. The first transition is 4215784; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 31 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,709,568

Proper Divisor Sum 304,307

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1405249 ← → #1405267

Radix Representation

Decimal	1405261
Binary	101010111000101001101 (21 bits)
Octal	0o5270515
Hexadecimal	0x15714D

Divisor Catalog (16)

1 11 13 31 143 317 341 403 3,487 4,121 4,433 9,827 45,331 108,097 127,751 1,405,261

Collatz Trajectory (129 steps to reach 1)

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

1,405,261 4,215,784 2,107,892 1,053,946 526,973 1,580,920 790,460 395,230 197,615 592,846 296,423 889,270 444,635 1,333,906 666,953 2,000,860 1,000,430 500,215 1,500,646 750,323 2,250,970 1,125,485 3,376,456 1,688,228 844,114 422,057 1,266,172 633,086 316,543 949,630 474,815 1,424,446 712,223 2,136,670 1,068,335 3,205,006 1,602,503 4,807,510 2,403,755 7,211,266 3,605,633 10,816,900 5,408,450 2,704,225 8,112,676 4,056,338 2,028,169 6,084,508 3,042,254 1,521,127 4,563,382 2,281,691 6,845,074 3,422,537 10,267,612 5,133,806 2,566,903 7,700,710 3,850,355 11,551,066

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