137,730

2 × 3 × 5 × 4591

137,730 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 4591 and its 16 divisors sum to 330,624.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 4591

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 330,624

Proper Divisor Sum 192,894

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #137723 ← → #137737

Radix Representation

Decimal	137730
Binary	100001101000000010 (18 bits)
Octal	0o415002
Hexadecimal	0x21A02

Divisor Catalog (16)

1 2 3 5 6 10 15 30 4,591 9,182 13,773 22,955 27,546 45,910 68,865 137,730

Collatz Trajectory (113 steps to reach 1)

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

137,730 68,865 206,596 103,298 51,649 154,948 77,474 38,737 116,212 58,106 29,053 87,160 43,580 21,790 10,895 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243

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