37,381,048

2³ × 4672631

37,381,048 factors as 2^3 × 4672631. Its 8 positive divisors give a proper-divisor sum of 32,708,432, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 4672631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 70,089,480

Proper Divisor Sum 32,708,432

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37381033 ← → #37381067

Radix Representation

Decimal	37381048
Binary	10001110100110001110111000 (26 bits)
Octal	0o216461670
Hexadecimal	0x23A63B8

Divisor Catalog (8)

1 2 4 8 4,672,631 9,345,262 18,690,524 37,381,048

Collatz Trajectory (165 steps to reach 1)

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

37,381,048 18,690,524 9,345,262 4,672,631 14,017,894 7,008,947 21,026,842 10,513,421 31,540,264 15,770,132 7,885,066 3,942,533 11,827,600 5,913,800 2,956,900 1,478,450 739,225 2,217,676 1,108,838 554,419 1,663,258 831,629 2,494,888 1,247,444 623,722 311,861 935,584 467,792 233,896 116,948 58,474 29,237 87,712 43,856 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

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