λ
Prime Ledger

177,402

2 × 3 × 29567
Abundant Even Composite

177,402 has the prime decomposition 2 × 3 × 29567. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 354,816
Proper Divisor Sum 177,414
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #177383 ← → #177409

Radix Representation

Decimal 177402
Binary 101011010011111010 (18 bits)
Octal 0o532372
Hexadecimal 0x2B4FA

Divisor Catalog (8)

1 2 3 6 29,567 59,134 88,701 177,402

Collatz Trajectory (95 steps to reach 1)

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

177,402 88,701 266,104 133,052 66,526 33,263 99,790 49,895 149,686 74,843 224,530 112,265 336,796 168,398 84,199 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900 28,450 14,225 42,676 21,338 10,669 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754

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