37,649,104

2⁴ × 2353069

37,649,104 factors as 2^4 × 2353069. Its 10 positive divisors give a proper-divisor sum of 35,296,066, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^4 × 2353069

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 72,945,170

Proper Divisor Sum 35,296,066

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37649083 ← → #37649113

Radix Representation

Decimal	37649104
Binary	10001111100111101011010000 (26 bits)
Octal	0o217475320
Hexadecimal	0x23E7AD0

Divisor Catalog (10)

1 2 4 8 16 2,353,069 4,706,138 9,412,276 18,824,552 37,649,104

Collatz Trajectory (165 steps to reach 1)

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

37,649,104 18,824,552 9,412,276 4,706,138 2,353,069 7,059,208 3,529,604 1,764,802 882,401 2,647,204 1,323,602 661,801 1,985,404 992,702 496,351 1,489,054 744,527 2,233,582 1,116,791 3,350,374 1,675,187 5,025,562 2,512,781 7,538,344 3,769,172 1,884,586 942,293 2,826,880 1,413,440 706,720 353,360 176,680 88,340 44,170 22,085 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31

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