λ
Harmonic Matrix

645,358

2 × 7 × 31 × 1487
Deficient Even Composite

645,358 has digital root 4. The neighboring primes are 645353 and 645367; its proper-divisor sum differs from the starting integer by -147,932.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,142,784
Proper Divisor Sum 497,426
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #645353 ← → #645367

Radix Representation

Decimal 645358
Binary 10011101100011101110 (20 bits)
Octal 0o2354356
Hexadecimal 0x9D8EE

Divisor Catalog (16)

1 2 7 14 31 62 217 434 1,487 2,974 10,409 20,818 46,097 92,194 322,679 645,358

Collatz Trajectory (216 steps to reach 1)

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

645,358 322,679 968,038 484,019 1,452,058 726,029 2,178,088 1,089,044 544,522 272,261 816,784 408,392 204,196 102,098 51,049 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568

More profiles

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