813,988

2² × 7² × 4153

813,988 factors as 2^2 × 7^2 × 4153. Its 18 positive divisors give a proper-divisor sum of 843,458, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 4153

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,657,446

Proper Divisor Sum 843,458

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #813971 ← → #813991

Radix Representation

Decimal	813988
Binary	11000110101110100100 (20 bits)
Octal	0o3065644
Hexadecimal	0xC6BA4

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 4,153 8,306 16,612 29,071 58,142 116,284 203,497 406,994 813,988

Collatz Trajectory (219 steps to reach 1)

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

813,988 406,994 203,497 610,492 305,246 152,623 457,870 228,935 686,806 343,403 1,030,210 515,105 1,545,316 772,658 386,329 1,158,988 579,494 289,747 869,242 434,621 1,303,864 651,932 325,966 162,983 488,950 244,475 733,426 366,713 1,100,140 550,070 275,035 825,106 412,553 1,237,660 618,830 309,415 928,246 464,123 1,392,370 696,185 2,088,556 1,044,278 522,139 1,566,418 783,209 2,349,628 1,174,814 587,407 1,762,222 881,111 2,643,334 1,321,667 3,965,002 1,982,501 5,947,504 2,973,752 1,486,876 743,438 371,719 1,115,158

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