37,802,448

2⁴ × 3² × 79 × 3323

37,802,448 factors as 2^4 × 3^2 × 79 × 3323. Its 60 positive divisors give a proper-divisor sum of 69,363,312, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 79 × 3323

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 107,165,760

Proper Divisor Sum 69,363,312

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #37802447 ← → #37802449

Radix Representation

Decimal	37802448
Binary	10010000001101000111010000 (26 bits)
Octal	0o220150720
Hexadecimal	0x240D1D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1,264 1,422 1,896 2,844 3,323 3,792 5,688 6,646 9,969 11,376 13,292 19,938 26,584 29,907 39,876 53,168 59,814 79,752 119,628 159,504 239,256 262,517 478,512 525,034 787,551 1,050,068 1,575,102 2,100,136 2,362,653 3,150,204 4,200,272 4,725,306 6,300,408 9,450,612 12,600,816 18,901,224 37,802,448

Collatz Trajectory (134 steps to reach 1)

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

37,802,448 18,901,224 9,450,612 4,725,306 2,362,653 7,087,960 3,543,980 1,771,990 885,995 2,657,986 1,328,993 3,986,980 1,993,490 996,745 2,990,236 1,495,118 747,559 2,242,678 1,121,339 3,364,018 1,682,009 5,046,028 2,523,014 1,261,507 3,784,522 1,892,261 5,676,784 2,838,392 1,419,196 709,598 354,799 1,064,398 532,199 1,596,598 798,299 2,394,898 1,197,449 3,592,348 1,796,174 898,087 2,694,262 1,347,131 4,041,394 2,020,697 6,062,092 3,031,046 1,515,523 4,546,570 2,273,285 6,819,856 3,409,928 1,704,964 852,482 426,241 1,278,724 639,362 319,681 959,044 479,522 239,761

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