λ
Harmonic Matrix

6,536,436

22 × 3 × 127 × 4289
Abundant Even Composite

6,536,436 has digital root 6. The neighboring primes are 6536423 and 6536441; its proper-divisor sum differs from the starting integer by 2,302,488.

Prime Factor Structure

Factorization String 2^2 × 3 × 127 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,375,360
Proper Divisor Sum 8,838,924
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6536423 ← → #6536441

Radix Representation

Decimal 6536436
Binary 11000111011110011110100 (23 bits)
Octal 0o30736364
Hexadecimal 0x63BCF4

Divisor Catalog (24)

1 2 3 4 6 12 127 254 381 508 762 1,524 4,289 8,578 12,867 17,156 25,734 51,468 544,703 1,089,406 1,634,109 2,178,812 3,268,218 6,536,436

Collatz Trajectory (90 steps to reach 1)

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

6,536,436 3,268,218 1,634,109 4,902,328 2,451,164 1,225,582 612,791 1,838,374 919,187 2,757,562 1,378,781 4,136,344 2,068,172 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837 872,512 436,256 218,128 109,064 54,532 27,266 13,633 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

More profiles

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