λ
Harmonic Matrix

3,984,837

3 × 1328279
Deficient Odd Composite

3,984,837 has digital root 6. The neighboring primes are 3984823 and 3984859; its proper-divisor sum differs from the starting integer by -2,656,554.

Prime Factor Structure

Factorization String 3 × 1328279
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,313,120
Proper Divisor Sum 1,328,283
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3984823 ← → #3984859

Radix Representation

Decimal 3984837
Binary 1111001100110111000101 (22 bits)
Octal 0o17146705
Hexadecimal 0x3CCDC5

Divisor Catalog (4)

1 3 1,328,279 3,984,837

Collatz Trajectory (141 steps to reach 1)

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

3,984,837 11,954,512 5,977,256 2,988,628 1,494,314 747,157 2,241,472 1,120,736 560,368 280,184 140,092 70,046 35,023 105,070 52,535 157,606 78,803 236,410 118,205 354,616 177,308 88,654 44,327 132,982 66,491 199,474 99,737 299,212 149,606 74,803 224,410 112,205 336,616 168,308 84,154 42,077 126,232 63,116 31,558 15,779 47,338 23,669 71,008 35,504 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216

More profiles

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