λ
Harmonic Matrix

1,637,312

26 × 25583
Deficient Even Composite

1,637,312 has digital root 5. The neighboring primes are 1637299 and 1637357; its proper-divisor sum differs from the starting integer by -25,456.

Prime Factor Structure

Factorization String 2^6 × 25583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 3,249,168
Proper Divisor Sum 1,611,856
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1637299 ← → #1637357

Radix Representation

Decimal 1637312
Binary 110001111101111000000 (21 bits)
Octal 0o6175700
Hexadecimal 0x18FBC0

Divisor Catalog (14)

1 2 4 8 16 32 64 25,583 51,166 102,332 204,664 409,328 818,656 1,637,312

Collatz Trajectory (176 steps to reach 1)

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

1,637,312 818,656 409,328 204,664 102,332 51,166 25,583 76,750 38,375 115,126 57,563 172,690 86,345 259,036 129,518 64,759 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290

More profiles

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