7,449,336

2³ × 3² × 157 × 659

Starting at 7,449,336, the Collatz iteration reaches 1 after 142 steps. The first transition is 3724668; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 157 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,334,600

Proper Divisor Sum 12,885,264

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7449329 ← → #7449341

Radix Representation

Decimal	7449336
Binary	11100011010101011111000 (23 bits)
Octal	0o34325370
Hexadecimal	0x71AAF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 659 942 1,256 1,318 1,413 1,884 1,977 2,636 2,826 3,768 3,954 5,272 5,652 5,931 7,908 11,304 11,862 15,816 23,724 47,448 103,463 206,926 310,389 413,852 620,778 827,704 931,167 1,241,556 1,862,334 2,483,112 3,724,668 7,449,336

Collatz Trajectory (142 steps to reach 1)

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

7,449,336 3,724,668 1,862,334 931,167 2,793,502 1,396,751 4,190,254 2,095,127 6,285,382 3,142,691 9,428,074 4,714,037 14,142,112 7,071,056 3,535,528 1,767,764 883,882 441,941 1,325,824 662,912 331,456 165,728 82,864 41,432 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883

← Previous Integer #7,449,335 Browse Full Index Next Integer #7,449,337 →