λ
Sequence Observatory

6,317,429

6317429
Deficient Odd Prime

Starting at 6,317,429, the Collatz iteration reaches 1 after 165 steps. The first transition is 18952288; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6317429
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,317,430
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6317413 ← → #6317471

Radix Representation

Decimal 6317429
Binary 11000000110010101110101 (23 bits)
Octal 0o30062565
Hexadecimal 0x606575

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

6,317,429 18,952,288 9,476,144 4,738,072 2,369,036 1,184,518 592,259 1,776,778 888,389 2,665,168 1,332,584 666,292 333,146 166,573 499,720 249,860 124,930 62,465 187,396 93,698 46,849 140,548 70,274 35,137 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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