1,153,313

7² × 23537

Starting at 1,153,313, the Collatz iteration reaches 1 after 72 steps. The first transition is 3459940; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 23537

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,341,666

Proper Divisor Sum 188,353

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1153309 ← → #1153337

Radix Representation

Decimal	1153313
Binary	100011001100100100001 (21 bits)
Octal	0o4314441
Hexadecimal	0x119921

Divisor Catalog (6)

1 7 49 23,537 164,759 1,153,313

Collatz Trajectory (72 steps to reach 1)

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

1,153,313 3,459,940 1,729,970 864,985 2,594,956 1,297,478 648,739 1,946,218 973,109 2,919,328 1,459,664 729,832 364,916 182,458 91,229 273,688 136,844 68,422 34,211 102,634 51,317 153,952 76,976 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34

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