712,008

2³ × 3² × 11 × 29 × 31

For 712,008, the 96 positive divisors have a total of 2,246,400. Removing 712,008 leaves 1,534,392, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,246,400

Proper Divisor Sum 1,534,392

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #712007 ← → #712021

Radix Representation

Decimal	712008
Binary	10101101110101001000 (20 bits)
Octal	0o2556510
Hexadecimal	0xADD48

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 22 24 29 31 33 36 44 58 62 66 72 87 88 93 99 116 124 132 174 186 198 232 248 261 264 279 319 341 348 372 396 522 558 638 682 696 744 792 899 957 1,023 1,044 1,116 1,276 1,364 1,798 1,914 2,046 2,088 2,232

Collatz Trajectory (105 steps to reach 1)

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

712,008 356,004 178,002 89,001 267,004 133,502 66,751 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197 162,592

← Previous Integer #712,007 Browse Full Index Next Integer #712,009 →