40,124,834

2 × 23 × 137 × 6367

40,124,834 factors as 2 × 23 × 137 × 6367. Its 16 positive divisors give a proper-divisor sum of 23,147,614, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 23 × 137 × 6367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 63,272,448

Proper Divisor Sum 23,147,614

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #40124809 ← → #40124837

Radix Representation

Decimal	40124834
Binary	10011001000100000110100010 (26 bits)
Octal	0o231040642
Hexadecimal	0x26441A2

Divisor Catalog (16)

1 2 23 46 137 274 3,151 6,302 6,367 12,734 146,441 292,882 872,279 1,744,558 20,062,417 40,124,834

Collatz Trajectory (178 steps to reach 1)

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

40,124,834 20,062,417 60,187,252 30,093,626 15,046,813 45,140,440 22,570,220 11,285,110 5,642,555 16,927,666 8,463,833 25,391,500 12,695,750 6,347,875 19,043,626 9,521,813 28,565,440 14,282,720 7,141,360 3,570,680 1,785,340 892,670 446,335 1,339,006 669,503 2,008,510 1,004,255 3,012,766 1,506,383 4,519,150 2,259,575 6,778,726 3,389,363 10,168,090 5,084,045 15,252,136 7,626,068 3,813,034 1,906,517 5,719,552 2,859,776 1,429,888 714,944 357,472 178,736 89,368 44,684 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072

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