4,733,793

3² × 19² × 31 × 47

4,733,793 factors as 3^2 × 19^2 × 31 × 47. Its 36 positive divisors give a proper-divisor sum of 2,874,015, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 19^2 × 31 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,607,808

Proper Divisor Sum 2,874,015

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4733789 ← → #4733797

Radix Representation

Decimal	4733793
Binary	10010000011101101100001 (23 bits)
Octal	0o22035541
Hexadecimal	0x483B61

Divisor Catalog (36)

1 3 9 19 31 47 57 93 141 171 279 361 423 589 893 1,083 1,457 1,767 2,679 3,249 4,371 5,301 8,037 11,191 13,113 16,967 27,683 33,573 50,901 83,049 100,719 152,703 249,147 525,977 1,577,931 4,733,793

Collatz Trajectory (123 steps to reach 1)

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

4,733,793 14,201,380 7,100,690 3,550,345 10,651,036 5,325,518 2,662,759 7,988,278 3,994,139 11,982,418 5,991,209 17,973,628 8,986,814 4,493,407 13,480,222 6,740,111 20,220,334 10,110,167 30,330,502 15,165,251 45,495,754 22,747,877 68,243,632 34,121,816 17,060,908 8,530,454 4,265,227 12,795,682 6,397,841 19,193,524 9,596,762 4,798,381 14,395,144 7,197,572 3,598,786 1,799,393 5,398,180 2,699,090 1,349,545 4,048,636 2,024,318 1,012,159 3,036,478 1,518,239 4,554,718 2,277,359 6,832,078 3,416,039 10,248,118 5,124,059 15,372,178 7,686,089 23,058,268 11,529,134 5,764,567 17,293,702 8,646,851 25,940,554 12,970,277 38,910,832

← Previous Integer #4,733,792 Browse Full Index Next Integer #4,733,794 →