λ
Harmonic Matrix

308,087

132 × 1823
Deficient Odd Composite

308,087 has digital root 8. The neighboring primes are 308081 and 308093; its proper-divisor sum differs from the starting integer by -282,382.

Prime Factor Structure

Factorization String 13^2 × 1823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 333,792
Proper Divisor Sum 25,705
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #308081 ← → #308093

Radix Representation

Decimal 308087
Binary 1001011001101110111 (19 bits)
Octal 0o1131567
Hexadecimal 0x4B377

Divisor Catalog (6)

1 13 169 1,823 23,699 308,087

Collatz Trajectory (158 steps to reach 1)

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

308,087 924,262 462,131 1,386,394 693,197 2,079,592 1,039,796 519,898 259,949 779,848 389,924 194,962 97,481 292,444 146,222 73,111 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688 30,844 15,422 7,711 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955

More profiles

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