2,918,340

2² × 3² × 5 × 31 × 523

2,918,340 factors as 2^2 × 3^2 × 5 × 31 × 523. Its 72 positive divisors give a proper-divisor sum of 6,236,988, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 31 × 523

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,155,328

Proper Divisor Sum 6,236,988

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2918329 ← → #2918351

Radix Representation

Decimal	2918340
Binary	1011001000011111000100 (22 bits)
Octal	0o13103704
Hexadecimal	0x2C87C4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 523 558 620 930 1,046 1,116 1,395 1,569 1,860 2,092 2,615 2,790 3,138 4,707 5,230 5,580 6,276 7,845 9,414 10,460 15,690 16,213 18,828 23,535 31,380 32,426 47,070 48,639 64,852 81,065 94,140 97,278

Collatz Trajectory (63 steps to reach 1)

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

2,918,340 1,459,170 729,585 2,188,756 1,094,378 547,189 1,641,568 820,784 410,392 205,196 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

← Previous Integer #2,918,339 Browse Full Index Next Integer #2,918,341 →