627,396

2² × 3 × 7² × 11 × 97

627,396 factors as 2^2 × 3 × 7^2 × 11 × 97. Its 72 positive divisors give a proper-divisor sum of 1,249,500, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 11 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,876,896

Proper Divisor Sum 1,249,500

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #627391 ← → #627433

Radix Representation

Decimal	627396
Binary	10011001001011000100 (20 bits)
Octal	0o2311304
Hexadecimal	0x992C4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 97 98 132 147 154 194 196 231 291 294 308 388 462 539 582 588 679 924 1,067 1,078 1,164 1,358 1,617 2,037 2,134 2,156 2,716 3,201 3,234 4,074 4,268 4,753 6,402 6,468 7,469 8,148 9,506 12,804 14,259 14,938 19,012

Collatz Trajectory (110 steps to reach 1)

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

627,396 313,698 156,849 470,548 235,274 117,637 352,912 176,456 88,228 44,114 22,057 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630 62,815 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008 238,504 119,252 59,626 29,813 89,440 44,720 22,360 11,180 5,590 2,795 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #627,395 Browse Full Index Next Integer #627,397 →