72,444

2² × 3 × 6037

Starting at 72,444, the Collatz iteration reaches 1 after 42 steps. The first transition is 36222; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 6037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 169,064

Proper Divisor Sum 96,620

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #72431 ← → #72461

Radix Representation

Decimal	72444
Binary	10001101011111100 (17 bits)
Octal	0o215374
Hexadecimal	0x11AFC

Divisor Catalog (12)

1 2 3 4 6 12 6,037 12,074 18,111 24,148 36,222 72,444

Collatz Trajectory (42 steps to reach 1)

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

72,444 36,222 18,111 54,334 27,167 81,502 40,751 122,254 61,127 183,382 91,691 275,074 137,537 412,612 206,306 103,153 309,460 154,730 77,365 232,096 116,048 58,024 29,012 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

← Previous Integer #72,443 Browse Full Index Next Integer #72,445 →