6,972,625

5³ × 11² × 461

Starting at 6,972,625, the Collatz iteration reaches 1 after 284 steps. The first transition is 20917876; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 11^2 × 461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,585,576

Proper Divisor Sum 2,612,951

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6972617 ← → #6972629

Radix Representation

Decimal	6972625
Binary	11010100110010011010001 (23 bits)
Octal	0o32462321
Hexadecimal	0x6A64D1

Divisor Catalog (24)

1 5 11 25 55 121 125 275 461 605 1,375 2,305 3,025 5,071 11,525 15,125 25,355 55,781 57,625 126,775 278,905 633,875 1,394,525 6,972,625

Collatz Trajectory (284 steps to reach 1)

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

6,972,625 20,917,876 10,458,938 5,229,469 15,688,408 7,844,204 3,922,102 1,961,051 5,883,154 2,941,577 8,824,732 4,412,366 2,206,183 6,618,550 3,309,275 9,927,826 4,963,913 14,891,740 7,445,870 3,722,935 11,168,806 5,584,403 16,753,210 8,376,605 25,129,816 12,564,908 6,282,454 3,141,227 9,423,682 4,711,841 14,135,524 7,067,762 3,533,881 10,601,644 5,300,822 2,650,411 7,951,234 3,975,617 11,926,852 5,963,426 2,981,713 8,945,140 4,472,570 2,236,285 6,708,856 3,354,428 1,677,214 838,607 2,515,822 1,257,911 3,773,734 1,886,867 5,660,602 2,830,301 8,490,904 4,245,452 2,122,726 1,061,363 3,184,090 1,592,045

← Previous Integer #6,972,624 Browse Full Index Next Integer #6,972,626 →