23,001,072

2⁴ × 3 × 479189

23,001,072 factors as 2^4 × 3 × 479189. Its 20 positive divisors give a proper-divisor sum of 36,418,488, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 479189

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 59,419,560

Proper Divisor Sum 36,418,488

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #23001053 ← → #23001103

Radix Representation

Decimal	23001072
Binary	1010111101111011111110000 (25 bits)
Octal	0o127573760
Hexadecimal	0x15EF7F0

Divisor Catalog (20)

Collatz Trajectory (247 steps to reach 1)

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

23,001,072 11,500,536 5,750,268 2,875,134 1,437,567 4,312,702 2,156,351 6,469,054 3,234,527 9,703,582 4,851,791 14,555,374 7,277,687 21,833,062 10,916,531 32,749,594 16,374,797 49,124,392 24,562,196 12,281,098 6,140,549 18,421,648 9,210,824 4,605,412 2,302,706 1,151,353 3,454,060 1,727,030 863,515 2,590,546 1,295,273 3,885,820 1,942,910 971,455 2,914,366 1,457,183 4,371,550 2,185,775 6,557,326 3,278,663 9,835,990 4,917,995 14,753,986 7,376,993 22,130,980 11,065,490 5,532,745 16,598,236 8,299,118 4,149,559 12,448,678 6,224,339 18,673,018 9,336,509 28,009,528 14,004,764 7,002,382 3,501,191 10,503,574 5,251,787

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