λ
Prime Ledger

162,526

2 × 7 × 13 × 19 × 47
Deficient Even Composite

162,526 has the prime decomposition 2 × 7 × 13 × 19 × 47. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 19 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 322,560
Proper Divisor Sum 160,034
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #162523 ← → #162527

Radix Representation

Decimal 162526
Binary 100111101011011110 (18 bits)
Octal 0o475336
Hexadecimal 0x27ADE

Divisor Catalog (32)

1 2 7 13 14 19 26 38 47 91 94 133 182 247 266 329 494 611 658 893 1,222 1,729 1,786 3,458 4,277 6,251 8,554 11,609 12,502 23,218 81,263 162,526

Collatz Trajectory (95 steps to reach 1)

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

162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031

More profiles

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