λ
Harmonic Matrix

990,477

32 × 167 × 659
Deficient Odd Composite

990,477 has digital root 9. The neighboring primes are 990469 and 990487; its proper-divisor sum differs from the starting integer by -539,514.

Prime Factor Structure

Factorization String 3^2 × 167 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,441,440
Proper Divisor Sum 450,963
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #990469 ← → #990487

Radix Representation

Decimal 990477
Binary 11110001110100001101 (20 bits)
Octal 0o3616415
Hexadecimal 0xF1D0D

Divisor Catalog (12)

1 3 9 167 501 659 1,503 1,977 5,931 110,053 330,159 990,477

Collatz Trajectory (183 steps to reach 1)

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

990,477 2,971,432 1,485,716 742,858 371,429 1,114,288 557,144 278,572 139,286 69,643 208,930 104,465 313,396 156,698 78,349 235,048 117,524 58,762 29,381 88,144 44,072 22,036 11,018 5,509 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316

More profiles

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