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Atlas › Integer Profiles › Node 23,771,872

23,771,872

25 × 571 × 1301
Deficient Even Composite

23,771,872 factors as 2^5 × 571 × 1301. Its 24 positive divisors give a proper-divisor sum of 23,147,000, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^5 × 571 × 1301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,918,872
Proper Divisor Sum 23,147,000
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #23771843 ← → #23771879

Radix Representation

Decimal 23771872
Binary 1011010101011101011100000 (25 bits)
Octal 0o132535340
Hexadecimal 0x16ABAE0

Divisor Catalog (24)

1 2 4 8 16 32 571 1,142 1,301 2,284 2,602 4,568 5,204 9,136 10,408 18,272 20,816 41,632 742,871 1,485,742 2,971,484 5,942,968 11,885,936 23,771,872

Collatz Trajectory (198 steps to reach 1)

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

23,771,872 11,885,936 5,942,968 2,971,484 1,485,742 742,871 2,228,614 1,114,307 3,342,922 1,671,461 5,014,384 2,507,192 1,253,596 626,798 313,399 940,198 470,099 1,410,298 705,149 2,115,448 1,057,724 528,862 264,431 793,294 396,647 1,189,942 594,971 1,784,914 892,457 2,677,372 1,338,686 669,343 2,008,030 1,004,015 3,012,046 1,506,023 4,518,070 2,259,035 6,777,106 3,388,553 10,165,660 5,082,830 2,541,415 7,624,246 3,812,123 11,436,370 5,718,185 17,154,556 8,577,278 4,288,639 12,865,918 6,432,959 19,298,878 9,649,439 28,948,318 14,474,159 43,422,478 21,711,239 65,133,718 32,566,859

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