2,570,610

2 × 3 × 5 × 7 × 12241

Starting at 2,570,610, the Collatz iteration reaches 1 after 99 steps. The first transition is 1285305; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 12241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,051,392

Proper Divisor Sum 4,480,782

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2570609 ← → #2570611

Radix Representation

Decimal	2570610
Binary	1001110011100101110010 (22 bits)
Octal	0o11634562
Hexadecimal	0x273972

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 12,241 24,482 36,723 61,205 73,446 85,687 122,410 171,374 183,615 257,061 367,230 428,435 514,122 856,870 1,285,305 2,570,610

Collatz Trajectory (99 steps to reach 1)

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

2,570,610 1,285,305 3,855,916 1,927,958 963,979 2,891,938 1,445,969 4,337,908 2,168,954 1,084,477 3,253,432 1,626,716 813,358 406,679 1,220,038 610,019 1,830,058 915,029 2,745,088 1,372,544 686,272 343,136 171,568 85,784 42,892 21,446 10,723 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

← Previous Integer #2,570,609 Browse Full Index Next Integer #2,570,611 →