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Atlas › Integer Profiles › Node 21,771,760

21,771,760

24 × 5 × 43 × 6329
Abundant Even Composite

21,771,760 factors as 2^4 × 5 × 43 × 6329. Its 40 positive divisors give a proper-divisor sum of 30,032,960, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 43 × 6329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 51,804,720
Proper Divisor Sum 30,032,960
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21771749 ← → #21771787

Radix Representation

Decimal 21771760
Binary 1010011000011010111110000 (25 bits)
Octal 0o123032760
Hexadecimal 0x14C35F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1,720 3,440 6,329 12,658 25,316 31,645 50,632 63,290 101,264 126,580 253,160 272,147 506,320 544,294 1,088,588 1,360,735 2,177,176 2,721,470 4,354,352 5,442,940 10,885,880 21,771,760

Collatz Trajectory (128 steps to reach 1)

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

21,771,760 10,885,880 5,442,940 2,721,470 1,360,735 4,082,206 2,041,103 6,123,310 3,061,655 9,184,966 4,592,483 13,777,450 6,888,725 20,666,176 10,333,088 5,166,544 2,583,272 1,291,636 645,818 322,909 968,728 484,364 242,182 121,091 363,274 181,637 544,912 272,456 136,228 68,114 34,057 102,172 51,086 25,543 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017

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