λ
Harmonic Matrix

402,149

11 × 36559
Deficient Odd Composite

402,149 has digital root 2. The neighboring primes are 402139 and 402197; its proper-divisor sum differs from the starting integer by -365,578.

Prime Factor Structure

Factorization String 11 × 36559
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 438,720
Proper Divisor Sum 36,571
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #402139 ← → #402197

Radix Representation

Decimal 402149
Binary 1100010001011100101 (19 bits)
Octal 0o1421345
Hexadecimal 0x622E5

Divisor Catalog (4)

1 11 36,559 402,149

Collatz Trajectory (117 steps to reach 1)

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

402,149 1,206,448 603,224 301,612 150,806 75,403 226,210 113,105 339,316 169,658 84,829 254,488 127,244 63,622 31,811 95,434 47,717 143,152 71,576 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552

More profiles

← Previous Integer #402,148 Browse Full Index Next Integer #402,150 →