1,508,925

3 × 5² × 11 × 31 × 59

Starting at 1,508,925, the Collatz iteration reaches 1 after 132 steps. The first transition is 4526776; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 31 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,856,960

Proper Divisor Sum 1,348,035

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1508921 ← → #1508929

Radix Representation

Decimal	1508925
Binary	101110000011000111101 (21 bits)
Octal	0o5603075
Hexadecimal	0x17063D

Divisor Catalog (48)

1 3 5 11 15 25 31 33 55 59 75 93 155 165 177 275 295 341 465 649 775 825 885 1,023 1,475 1,705 1,829 1,947 2,325 3,245 4,425 5,115 5,487 8,525 9,145 9,735 16,225 20,119 25,575 27,435 45,725 48,675 60,357 100,595 137,175 301,785 502,975 1,508,925

Collatz Trajectory (132 steps to reach 1)

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

1,508,925 4,526,776 2,263,388 1,131,694 565,847 1,697,542 848,771 2,546,314 1,273,157 3,819,472 1,909,736 954,868 477,434 238,717 716,152 358,076 179,038 89,519 268,558 134,279 402,838 201,419 604,258 302,129 906,388 453,194 226,597 679,792 339,896 169,948 84,974 42,487 127,462 63,731 191,194 95,597 286,792 143,396 71,698 35,849 107,548 53,774 26,887 80,662 40,331 120,994 60,497 181,492 90,746 45,373 136,120 68,060 34,030 17,015 51,046 25,523 76,570 38,285 114,856 57,428

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