9,251,513

71 × 130303

Starting at 9,251,513, the Collatz iteration reaches 1 after 137 steps. The first transition is 27754540; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 71 × 130303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,381,888

Proper Divisor Sum 130,375

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9251507 ← → #9251531

Radix Representation

Decimal	9251513
Binary	100011010010101010111001 (24 bits)
Octal	0o43225271
Hexadecimal	0x8D2AB9

Divisor Catalog (4)

1 71 130,303 9,251,513

Collatz Trajectory (137 steps to reach 1)

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

9,251,513 27,754,540 13,877,270 6,938,635 20,815,906 10,407,953 31,223,860 15,611,930 7,805,965 23,417,896 11,708,948 5,854,474 2,927,237 8,781,712 4,390,856 2,195,428 1,097,714 548,857 1,646,572 823,286 411,643 1,234,930 617,465 1,852,396 926,198 463,099 1,389,298 694,649 2,083,948 1,041,974 520,987 1,562,962 781,481 2,344,444 1,172,222 586,111 1,758,334 879,167 2,637,502 1,318,751 3,956,254 1,978,127 5,934,382 2,967,191 8,901,574 4,450,787 13,352,362 6,676,181 20,028,544 10,014,272 5,007,136 2,503,568 1,251,784 625,892 312,946 156,473 469,420 234,710 117,355 352,066

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