37,424,312

2³ × 23 × 203393

37,424,312 factors as 2^3 × 23 × 203393. Its 16 positive divisors give a proper-divisor sum of 35,797,528, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 203393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 73,221,840

Proper Divisor Sum 35,797,528

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #37424291 ← → #37424369

Radix Representation

Decimal	37424312
Binary	10001110110000110010111000 (26 bits)
Octal	0o216606270
Hexadecimal	0x23B0CB8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 203,393 406,786 813,572 1,627,144 4,678,039 9,356,078 18,712,156 37,424,312

Collatz Trajectory (165 steps to reach 1)

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

37,424,312 18,712,156 9,356,078 4,678,039 14,034,118 7,017,059 21,051,178 10,525,589 31,576,768 15,788,384 7,894,192 3,947,096 1,973,548 986,774 493,387 1,480,162 740,081 2,220,244 1,110,122 555,061 1,665,184 832,592 416,296 208,148 104,074 52,037 156,112 78,056 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

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