λ
Harmonic Matrix

1,436,043

3 × 72 × 9769
Deficient Odd Composite

1,436,043 has digital root 3. The neighboring primes are 1436027 and 1436063; its proper-divisor sum differs from the starting integer by -644,526.

Prime Factor Structure

Factorization String 3 × 7^2 × 9769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,227,560
Proper Divisor Sum 791,517
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1436027 ← → #1436063

Radix Representation

Decimal 1436043
Binary 101011110100110001011 (21 bits)
Octal 0o5364613
Hexadecimal 0x15E98B

Divisor Catalog (12)

1 3 7 21 49 147 9,769 29,307 68,383 205,149 478,681 1,436,043

Collatz Trajectory (119 steps to reach 1)

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

1,436,043 4,308,130 2,154,065 6,462,196 3,231,098 1,615,549 4,846,648 2,423,324 1,211,662 605,831 1,817,494 908,747 2,726,242 1,363,121 4,089,364 2,044,682 1,022,341 3,067,024 1,533,512 766,756 383,378 191,689 575,068 287,534 143,767 431,302 215,651 646,954 323,477 970,432 485,216 242,608 121,304 60,652 30,326 15,163 45,490 22,745 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112

More profiles

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