λ
Harmonic Matrix

609,136

24 × 11 × 3461
Abundant Even Composite

609,136 has digital root 7. The neighboring primes are 609113 and 609143; its proper-divisor sum differs from the starting integer by 69,592.

Prime Factor Structure

Factorization String 2^4 × 11 × 3461
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,287,864
Proper Divisor Sum 678,728
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #609113 ← → #609143

Radix Representation

Decimal 609136
Binary 10010100101101110000 (20 bits)
Octal 0o2245560
Hexadecimal 0x94B70

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 3,461 6,922 13,844 27,688 38,071 55,376 76,142 152,284 304,568 609,136

Collatz Trajectory (97 steps to reach 1)

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

609,136 304,568 152,284 76,142 38,071 114,214 57,107 171,322 85,661 256,984 128,492 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647

More profiles

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