1,295,061

3 × 23 × 137²

1,295,061 factors as 3 × 23 × 137^2. Its 12 positive divisors give a proper-divisor sum of 520,011, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 23 × 137^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,815,072

Proper Divisor Sum 520,011

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1295057 ← → #1295069

Radix Representation

Decimal	1295061
Binary	100111100001011010101 (21 bits)
Octal	0o4741325
Hexadecimal	0x13C2D5

Divisor Catalog (12)

1 3 23 69 137 411 3,151 9,453 18,769 56,307 431,687 1,295,061

Collatz Trajectory (186 steps to reach 1)

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

1,295,061 3,885,184 1,942,592 971,296 485,648 242,824 121,412 60,706 30,353 91,060 45,530 22,765 68,296 34,148 17,074 8,537 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372

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