λ
Sigma Notebook

402,461

47 × 8563
Deficient Odd Composite

402,461 is odd and not a perfect square. Its factorization is 47 × 8563 and its 4 divisors sum to 411,072.

Prime Factor Structure

Factorization String 47 × 8563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 411,072
Proper Divisor Sum 8,611
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #402443 ← → #402487

Radix Representation

Decimal 402461
Binary 1100010010000011101 (19 bits)
Octal 0o1422035
Hexadecimal 0x6241D

Divisor Catalog (4)

1 47 8,563 402,461

Collatz Trajectory (161 steps to reach 1)

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

402,461 1,207,384 603,692 301,846 150,923 452,770 226,385 679,156 339,578 169,789 509,368 254,684 127,342 63,671 191,014 95,507 286,522 143,261 429,784 214,892 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71

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