λ
Harmonic Matrix

949,545

32 × 5 × 21101
Deficient Odd Composite

949,545 has digital root 9. The neighboring primes are 949523 and 949567; its proper-divisor sum differs from the starting integer by -253,134.

Prime Factor Structure

Factorization String 3^2 × 5 × 21101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,645,956
Proper Divisor Sum 696,411
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #949523 ← → #949567

Radix Representation

Decimal 949545
Binary 11100111110100101001 (20 bits)
Octal 0o3476451
Hexadecimal 0xE7D29

Divisor Catalog (12)

1 3 5 9 15 45 21,101 63,303 105,505 189,909 316,515 949,545

Collatz Trajectory (126 steps to reach 1)

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

949,545 2,848,636 1,424,318 712,159 2,136,478 1,068,239 3,204,718 1,602,359 4,807,078 2,403,539 7,210,618 3,605,309 10,815,928 5,407,964 2,703,982 1,351,991 4,055,974 2,027,987 6,083,962 3,041,981 9,125,944 4,562,972 2,281,486 1,140,743 3,422,230 1,711,115 5,133,346 2,566,673 7,700,020 3,850,010 1,925,005 5,775,016 2,887,508 1,443,754 721,877 2,165,632 1,082,816 541,408 270,704 135,352 67,676 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004

More profiles

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