37,795

5 × 7559

Starting at 37,795, the Collatz iteration reaches 1 after 62 steps. The first transition is 113386; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 7559

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 45,360

Proper Divisor Sum 7,565

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #37783 ← → #37799

Radix Representation

Decimal	37795
Binary	1001001110100011 (16 bits)
Octal	0o111643
Hexadecimal	0x93A3

Divisor Catalog (4)

1 5 7,559 37,795

Collatz Trajectory (62 steps to reach 1)

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

37,795 113,386 56,693 170,080 85,040 42,520 21,260 10,630 5,315 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

← Previous Integer #37,794 Browse Full Index Next Integer #37,796 →