λ
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Atlas › Integer Profiles › Node 21,843,672

21,843,672

23 × 3 × 173 × 5261
Abundant Even Composite

21,843,672 factors as 2^3 × 3 × 173 × 5261. Its 32 positive divisors give a proper-divisor sum of 33,091,608, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 173 × 5261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,935,280
Proper Divisor Sum 33,091,608
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #21843671 ← → #21843677

Radix Representation

Decimal 21843672
Binary 1010011010100111011011000 (25 bits)
Octal 0o123247330
Hexadecimal 0x14D4ED8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 173 346 519 692 1,038 1,384 2,076 4,152 5,261 10,522 15,783 21,044 31,566 42,088 63,132 126,264 910,153 1,820,306 2,730,459 3,640,612 5,460,918 7,281,224 10,921,836 21,843,672

Collatz Trajectory (265 steps to reach 1)

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

21,843,672 10,921,836 5,460,918 2,730,459 8,191,378 4,095,689 12,287,068 6,143,534 3,071,767 9,215,302 4,607,651 13,822,954 6,911,477 20,734,432 10,367,216 5,183,608 2,591,804 1,295,902 647,951 1,943,854 971,927 2,915,782 1,457,891 4,373,674 2,186,837 6,560,512 3,280,256 1,640,128 820,064 410,032 205,016 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302

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