23,976,752

2⁴ × 103 × 14549

23,976,752 factors as 2^4 × 103 × 14549. Its 20 positive divisors give a proper-divisor sum of 22,932,448, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 103 × 14549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 46,909,200

Proper Divisor Sum 22,932,448

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #23976731 ← → #23976761

Radix Representation

Decimal	23976752
Binary	1011011011101101100110000 (25 bits)
Octal	0o133355460
Hexadecimal	0x16DDB30

Divisor Catalog (20)

Collatz Trajectory (141 steps to reach 1)

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

23,976,752 11,988,376 5,994,188 2,997,094 1,498,547 4,495,642 2,247,821 6,743,464 3,371,732 1,685,866 842,933 2,528,800 1,264,400 632,200 316,100 158,050 79,025 237,076 118,538 59,269 177,808 88,904 44,452 22,226 11,113 33,340 16,670 8,335 25,006 12,503 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226

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