732,020

2² × 5 × 17 × 2153

Starting at 732,020, the Collatz iteration reaches 1 after 180 steps. The first transition is 366010; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 2153

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,628,424

Proper Divisor Sum 896,404

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #731999 ← → #732023

Radix Representation

Decimal	732020
Binary	10110010101101110100 (20 bits)
Octal	0o2625564
Hexadecimal	0xB2B74

Divisor Catalog (24)

1 2 4 5 10 17 20 34 68 85 170 340 2,153 4,306 8,612 10,765 21,530 36,601 43,060 73,202 146,404 183,005 366,010 732,020

Collatz Trajectory (180 steps to reach 1)

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

732,020 366,010 183,005 549,016 274,508 137,254 68,627 205,882 102,941 308,824 154,412 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648

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