λ
Harmonic Matrix

215,977

31 × 6967
Deficient Odd Composite

215,977 has digital root 4. The neighboring primes are 215959 and 215981; its proper-divisor sum differs from the starting integer by -208,978.

Prime Factor Structure

Factorization String 31 × 6967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 222,976
Proper Divisor Sum 6,999
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #215959 ← → #215981

Radix Representation

Decimal 215977
Binary 110100101110101001 (18 bits)
Octal 0o645651
Hexadecimal 0x34BA9

Divisor Catalog (4)

1 31 6,967 215,977

Collatz Trajectory (93 steps to reach 1)

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

215,977 647,932 323,966 161,983 485,950 242,975 728,926 364,463 1,093,390 546,695 1,640,086 820,043 2,460,130 1,230,065 3,690,196 1,845,098 922,549 2,767,648 1,383,824 691,912 345,956 172,978 86,489 259,468 129,734 64,867 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

More profiles

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