37,814,452

2² × 13 × 727201

37,814,452 factors as 2^2 × 13 × 727201. Its 12 positive divisors give a proper-divisor sum of 33,451,344, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 727201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 71,265,796

Proper Divisor Sum 33,451,344

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37814437 ← → #37814453

Radix Representation

Decimal	37814452
Binary	10010000010000000010110100 (26 bits)
Octal	0o220200264
Hexadecimal	0x24100B4

Divisor Catalog (12)

1 2 4 13 26 52 727,201 1,454,402 2,908,804 9,453,613 18,907,226 37,814,452

Collatz Trajectory (72 steps to reach 1)

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

37,814,452 18,907,226 9,453,613 28,360,840 14,180,420 7,090,210 3,545,105 10,635,316 5,317,658 2,658,829 7,976,488 3,988,244 1,994,122 997,061 2,991,184 1,495,592 747,796 373,898 186,949 560,848 280,424 140,212 70,106 35,053 105,160 52,580 26,290 13,145 39,436 19,718 9,859 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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