λ
Harmonic Matrix

636,784

24 × 39799
Deficient Even Composite

636,784 has digital root 7. The neighboring primes are 636781 and 636809; its proper-divisor sum differs from the starting integer by -39,768.

Prime Factor Structure

Factorization String 2^4 × 39799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,233,800
Proper Divisor Sum 597,016
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #636781 ← → #636809

Radix Representation

Decimal 636784
Binary 10011011011101110000 (20 bits)
Octal 0o2333560
Hexadecimal 0x9B770

Divisor Catalog (10)

1 2 4 8 16 39,799 79,598 159,196 318,392 636,784

Collatz Trajectory (79 steps to reach 1)

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

636,784 318,392 159,196 79,598 39,799 119,398 59,699 179,098 89,549 268,648 134,324 67,162 33,581 100,744 50,372 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19

More profiles

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