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Atlas › Integer Profiles › Node 23,052,472

23,052,472

23 × 19 × 43 × 3527
Abundant Even Composite

23,052,472 factors as 2^3 × 19 × 43 × 3527. Its 32 positive divisors give a proper-divisor sum of 23,517,128, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 43 × 3527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,569,600
Proper Divisor Sum 23,517,128
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #23052461 ← → #23052541

Radix Representation

Decimal 23052472
Binary 1010111111100000010111000 (25 bits)
Octal 0o127740270
Hexadecimal 0x15FC0B8

Divisor Catalog (32)

1 2 4 8 19 38 43 76 86 152 172 344 817 1,634 3,268 3,527 6,536 7,054 14,108 28,216 67,013 134,026 151,661 268,052 303,322 536,104 606,644 1,213,288 2,881,559 5,763,118 11,526,236 23,052,472

Collatz Trajectory (71 steps to reach 1)

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

23,052,472 11,526,236 5,763,118 2,881,559 8,644,678 4,322,339 12,967,018 6,483,509 19,450,528 9,725,264 4,862,632 2,431,316 1,215,658 607,829 1,823,488 911,744 455,872 227,936 113,968 56,984 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113

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