λ
Harmonic Matrix

4,436,639

4436639
Deficient Odd Prime

4,436,639 has digital root 8. The neighboring primes are 4436603 and 4436647; its proper-divisor sum differs from the starting integer by -4,436,638.

Prime Factor Structure

Factorization String 4436639
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,436,640
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4436603 ← → #4436647

Radix Representation

Decimal 4436639
Binary 10000111011001010011111 (23 bits)
Octal 0o20731237
Hexadecimal 0x43B29F

Divisor Catalog (2)

Collatz Trajectory (255 steps to reach 1)

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

4,436,639 13,309,918 6,654,959 19,964,878 9,982,439 29,947,318 14,973,659 44,920,978 22,460,489 67,381,468 33,690,734 16,845,367 50,536,102 25,268,051 75,804,154 37,902,077 113,706,232 56,853,116 28,426,558 14,213,279 42,639,838 21,319,919 63,959,758 31,979,879 95,939,638 47,969,819 143,909,458 71,954,729 215,864,188 107,932,094 53,966,047 161,898,142 80,949,071 242,847,214 121,423,607 364,270,822 182,135,411 546,406,234 273,203,117 819,609,352 409,804,676 204,902,338 102,451,169 307,353,508 153,676,754 76,838,377 230,515,132 115,257,566 57,628,783 172,886,350 86,443,175 259,329,526 129,664,763 388,994,290 194,497,145 583,491,436 291,745,718 145,872,859 437,618,578 218,809,289

More profiles

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