23,972,744

2³ × 37 × 80989

23,972,744 factors as 2^3 × 37 × 80989. Its 16 positive divisors give a proper-divisor sum of 22,191,556, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 80989

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 46,164,300

Proper Divisor Sum 22,191,556

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #23972719 ← → #23972749

Radix Representation

Decimal	23972744
Binary	1011011011100101110001000 (25 bits)
Octal	0o133345610
Hexadecimal	0x16DCB88

Divisor Catalog (16)

1 2 4 8 37 74 148 296 80,989 161,978 323,956 647,912 2,996,593 5,993,186 11,986,372 23,972,744

Collatz Trajectory (79 steps to reach 1)

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

23,972,744 11,986,372 5,993,186 2,996,593 8,989,780 4,494,890 2,247,445 6,742,336 3,371,168 1,685,584 842,792 421,396 210,698 105,349 316,048 158,024 79,012 39,506 19,753 59,260 29,630 14,815 44,446 22,223 66,670 33,335 100,006 50,003 150,010 75,005 225,016 112,508 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,972,743 Browse Full Index Next Integer #23,972,745 →