λ
Sigma Notebook

137,350

2 × 52 × 41 × 67
Deficient Even Composite

137,350 is even and not a perfect square. Its factorization is 2 × 5^2 × 41 × 67 and its 24 divisors sum to 265,608.

Prime Factor Structure

Factorization String 2 × 5^2 × 41 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 265,608
Proper Divisor Sum 128,258
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #137341 ← → #137353

Radix Representation

Decimal 137350
Binary 100001100010000110 (18 bits)
Octal 0o414206
Hexadecimal 0x21886

Divisor Catalog (24)

1 2 5 10 25 41 50 67 82 134 205 335 410 670 1,025 1,675 2,050 2,747 3,350 5,494 13,735 27,470 68,675 137,350

Collatz Trajectory (69 steps to reach 1)

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

137,350 68,675 206,026 103,013 309,040 154,520 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26

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