λ
Harmonic Matrix

4,400,156

22 × 1100039
Deficient Even Composite

4,400,156 has digital root 2. The neighboring primes are 4400131 and 4400167; its proper-divisor sum differs from the starting integer by -1,100,032.

Prime Factor Structure

Factorization String 2^2 × 1100039
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,700,280
Proper Divisor Sum 3,300,124
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4400131 ← → #4400167

Radix Representation

Decimal 4400156
Binary 10000110010010000011100 (23 bits)
Octal 0o20622034
Hexadecimal 0x43241C

Divisor Catalog (6)

1 2 4 1,100,039 2,200,078 4,400,156

Collatz Trajectory (211 steps to reach 1)

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

4,400,156 2,200,078 1,100,039 3,300,118 1,650,059 4,950,178 2,475,089 7,425,268 3,712,634 1,856,317 5,568,952 2,784,476 1,392,238 696,119 2,088,358 1,044,179 3,132,538 1,566,269 4,698,808 2,349,404 1,174,702 587,351 1,762,054 881,027 2,643,082 1,321,541 3,964,624 1,982,312 991,156 495,578 247,789 743,368 371,684 185,842 92,921 278,764 139,382 69,691 209,074 104,537 313,612 156,806 78,403 235,210 117,605 352,816 176,408 88,204 44,102 22,051 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652

More profiles

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