42,752,410

2 × 5 × 31 × 137911

42,752,410 factors as 2 × 5 × 31 × 137911. Its 16 positive divisors give a proper-divisor sum of 36,684,902, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 137911

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 79,437,312

Proper Divisor Sum 36,684,902

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42752407 ← → #42752419

Radix Representation

Decimal	42752410
Binary	10100011000101100110011010 (26 bits)
Octal	0o243054632
Hexadecimal	0x28C599A

Divisor Catalog (16)

1 2 5 10 31 62 155 310 137,911 275,822 689,555 1,379,110 4,275,241 8,550,482 21,376,205 42,752,410

Collatz Trajectory (98 steps to reach 1)

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

42,752,410 21,376,205 64,128,616 32,064,308 16,032,154 8,016,077 24,048,232 12,024,116 6,012,058 3,006,029 9,018,088 4,509,044 2,254,522 1,127,261 3,381,784 1,690,892 845,446 422,723 1,268,170 634,085 1,902,256 951,128 475,564 237,782 118,891 356,674 178,337 535,012 267,506 133,753 401,260 200,630 100,315 300,946 150,473 451,420 225,710 112,855 338,566 169,283 507,850 253,925 761,776 380,888 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #42,752,409 Browse Full Index Next Integer #42,752,411 →