52,257,450

2 × 3 × 5² × 7 × 157 × 317

52,257,450 factors as 2 × 3 × 5^2 × 7 × 157 × 317. Its 96 positive divisors give a proper-divisor sum of 97,268,694, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 157 × 317

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 149,526,144

Proper Divisor Sum 97,268,694

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #52257437 ← → #52257451

Radix Representation

Decimal	52257450
Binary	11000111010110001010101010 (26 bits)
Octal	0o307261252
Hexadecimal	0x31D62AA

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 157 175 210 314 317 350 471 525 634 785 942 951 1,050 1,099 1,570 1,585 1,902 2,198 2,219 2,355 3,170 3,297 3,925 4,438 4,710 4,755 5,495 6,594 6,657 7,850 7,925 9,510 10,990 11,095 11,775 13,314 15,850 16,485 22,190 23,550 23,775

Collatz Trajectory (137 steps to reach 1)

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

52,257,450 26,128,725 78,386,176 39,193,088 19,596,544 9,798,272 4,899,136 2,449,568 1,224,784 612,392 306,196 153,098 76,549 229,648 114,824 57,412 28,706 14,353 43,060 21,530 10,765 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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 #52,257,449 Browse Full Index Next Integer #52,257,451 →