23,968,944

2⁴ × 3² × 23 × 7237

23,968,944 factors as 2^4 × 3^2 × 23 × 7237. Its 60 positive divisors give a proper-divisor sum of 46,036,992, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 23 × 7237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 70,005,936

Proper Divisor Sum 46,036,992

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #23968909 ← → #23968951

Radix Representation

Decimal	23968944
Binary	1011011011011110010110000 (25 bits)
Octal	0o133336260
Hexadecimal	0x16DBCB0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1,104 1,656 3,312 7,237 14,474 21,711 28,948 43,422 57,896 65,133 86,844 115,792 130,266 166,451 173,688 260,532 332,902 347,376 499,353 521,064 665,804 998,706 1,042,128 1,331,608 1,498,059 1,997,412 2,663,216 2,996,118 3,994,824 5,992,236 7,989,648 11,984,472 23,968,944

Collatz Trajectory (154 steps to reach 1)

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

23,968,944 11,984,472 5,992,236 2,996,118 1,498,059 4,494,178 2,247,089 6,741,268 3,370,634 1,685,317 5,055,952 2,527,976 1,263,988 631,994 315,997 947,992 473,996 236,998 118,499 355,498 177,749 533,248 266,624 133,312 66,656 33,328 16,664 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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