464,121

3² × 7 × 53 × 139

Starting at 464,121, the Collatz iteration reaches 1 after 169 steps. The first transition is 1392364; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 53 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 786,240

Proper Divisor Sum 322,119

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #464119 ← → #464129

Radix Representation

Decimal	464121
Binary	1110001010011111001 (19 bits)
Octal	0o1612371
Hexadecimal	0x714F9

Divisor Catalog (24)

1 3 7 9 21 53 63 139 159 371 417 477 973 1,113 1,251 2,919 3,339 7,367 8,757 22,101 51,569 66,303 154,707 464,121

Collatz Trajectory (169 steps to reach 1)

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

464,121 1,392,364 696,182 348,091 1,044,274 522,137 1,566,412 783,206 391,603 1,174,810 587,405 1,762,216 881,108 440,554 220,277 660,832 330,416 165,208 82,604 41,302 20,651 61,954 30,977 92,932 46,466 23,233 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83

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