733,940

2² × 5 × 36697

733,940 factors as 2^2 × 5 × 36697. Its 12 positive divisors give a proper-divisor sum of 807,376, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 36697

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,541,316

Proper Divisor Sum 807,376

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #733939 ← → #733949

Radix Representation

Decimal	733940
Binary	10110011001011110100 (20 bits)
Octal	0o2631364
Hexadecimal	0xB32F4

Divisor Catalog (12)

1 2 4 5 10 20 36,697 73,394 146,788 183,485 366,970 733,940

Collatz Trajectory (211 steps to reach 1)

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

733,940 366,970 183,485 550,456 275,228 137,614 68,807 206,422 103,211 309,634 154,817 464,452 232,226 116,113 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944

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