λ
Harmonic Matrix

1,436,151

3 × 239 × 2003
Deficient Odd Composite

1,436,151 has digital root 3. The neighboring primes are 1436147 and 1436159; its proper-divisor sum differs from the starting integer by -948,462.

Prime Factor Structure

Factorization String 3 × 239 × 2003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,923,840
Proper Divisor Sum 487,689
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1436147 ← → #1436159

Radix Representation

Decimal 1436151
Binary 101011110100111110111 (21 bits)
Octal 0o5364767
Hexadecimal 0x15E9F7

Divisor Catalog (8)

1 3 239 717 2,003 6,009 478,717 1,436,151

Collatz Trajectory (230 steps to reach 1)

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

1,436,151 4,308,454 2,154,227 6,462,682 3,231,341 9,694,024 4,847,012 2,423,506 1,211,753 3,635,260 1,817,630 908,815 2,726,446 1,363,223 4,089,670 2,044,835 6,134,506 3,067,253 9,201,760 4,600,880 2,300,440 1,150,220 575,110 287,555 862,666 431,333 1,294,000 647,000 323,500 161,750 80,875 242,626 121,313 363,940 181,970 90,985 272,956 136,478 68,239 204,718 102,359 307,078 153,539 460,618 230,309 690,928 345,464 172,732 86,366 43,183 129,550 64,775 194,326 97,163 291,490 145,745 437,236 218,618 109,309 327,928

More profiles

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