1,257,511

41 × 30671

Starting at 1,257,511, the Collatz iteration reaches 1 after 111 steps. The first transition is 3772534; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 30671

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,288,224

Proper Divisor Sum 30,713

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1257499 ← → #1257517

Radix Representation

Decimal	1257511
Binary	100110011000000100111 (21 bits)
Octal	0o4630047
Hexadecimal	0x133027

Divisor Catalog (4)

1 41 30,671 1,257,511

Collatz Trajectory (111 steps to reach 1)

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

1,257,511 3,772,534 1,886,267 5,658,802 2,829,401 8,488,204 4,244,102 2,122,051 6,366,154 3,183,077 9,549,232 4,774,616 2,387,308 1,193,654 596,827 1,790,482 895,241 2,685,724 1,342,862 671,431 2,014,294 1,007,147 3,021,442 1,510,721 4,532,164 2,266,082 1,133,041 3,399,124 1,699,562 849,781 2,549,344 1,274,672 637,336 318,668 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978

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