3,748,992

2⁷ × 3 × 13 × 751

For 3,748,992, the 64 positive divisors have a total of 10,738,560. Removing 3,748,992 leaves 6,989,568, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 3 × 13 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,738,560

Proper Divisor Sum 6,989,568

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3748991 ← → #3749021

Radix Representation

Decimal	3748992
Binary	1110010011010010000000 (22 bits)
Octal	0o16232200
Hexadecimal	0x393480

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 751 832 1,248 1,502 1,664 2,253 2,496 3,004 4,506 4,992 6,008 9,012 9,763 12,016 18,024 19,526 24,032 29,289 36,048 39,052 48,064 58,578 72,096 78,104 96,128 117,156 144,192 156,208 234,312 288,384 312,416 468,624 624,832

Collatz Trajectory (110 steps to reach 1)

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

3,748,992 1,874,496 937,248 468,624 234,312 117,156 58,578 29,289 87,868 43,934 21,967 65,902 32,951 98,854 49,427 148,282 74,141 222,424 111,212 55,606 27,803 83,410 41,705 125,116 62,558 31,279 93,838 46,919 140,758 70,379 211,138 105,569 316,708 158,354 79,177 237,532 118,766 59,383 178,150 89,075 267,226 133,613 400,840 200,420 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782

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