666,624

2¹⁰ × 3 × 7 × 31

666,624 factors as 2^10 × 3 × 7 × 31. Its 88 positive divisors give a proper-divisor sum of 1,429,504, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^10 × 3 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 2,096,128

Proper Divisor Sum 1,429,504

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #666607 ← → #666637

Radix Representation

Decimal	666624
Binary	10100010110000000000 (20 bits)
Octal	0o2426000
Hexadecimal	0xA2C00

Divisor Catalog (60 of 88)

1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1,024 1,302 1,344 1,488 1,536 1,736 1,792 1,984 2,604 2,688 2,976 3,072 3,472

Collatz Trajectory (110 steps to reach 1)

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

666,624 333,312 166,656 83,328 41,664 20,832 10,416 5,208 2,604 1,302 651 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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 #666,623 Browse Full Index Next Integer #666,625 →