λ
Harmonic Matrix

608,312

23 × 76039
Deficient Even Composite

608,312 has digital root 2. The neighboring primes are 608303 and 608339; its proper-divisor sum differs from the starting integer by -76,024.

Prime Factor Structure

Factorization String 2^3 × 76039
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,140,600
Proper Divisor Sum 532,288
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #608303 ← → #608339

Radix Representation

Decimal 608312
Binary 10010100100000111000 (20 bits)
Octal 0o2244070
Hexadecimal 0x94838

Divisor Catalog (8)

1 2 4 8 76,039 152,078 304,156 608,312

Collatz Trajectory (110 steps to reach 1)

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

608,312 304,156 152,078 76,039 228,118 114,059 342,178 171,089 513,268 256,634 128,317 384,952 192,476 96,238 48,119 144,358 72,179 216,538 108,269 324,808 162,404 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922

More profiles

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