λ
Prime Ledger

388,817

11 × 13 × 2719
Deficient Odd Composite

388,817 has the prime decomposition 11 × 13 × 2719. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 2719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 456,960
Proper Divisor Sum 68,143
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #388813 ← → #388823

Radix Representation

Decimal 388817
Binary 1011110111011010001 (19 bits)
Octal 0o1367321
Hexadecimal 0x5EED1

Divisor Catalog (8)

1 11 13 143 2,719 29,909 35,347 388,817

Collatz Trajectory (192 steps to reach 1)

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

388,817 1,166,452 583,226 291,613 874,840 437,420 218,710 109,355 328,066 164,033 492,100 246,050 123,025 369,076 184,538 92,269 276,808 138,404 69,202 34,601 103,804 51,902 25,951 77,854 38,927 116,782 58,391 175,174 87,587 262,762 131,381 394,144 197,072 98,536 49,268 24,634 12,317 36,952 18,476 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470

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