464,101

11 × 31 × 1361

464,101 factors as 11 × 31 × 1361. Its 8 positive divisors give a proper-divisor sum of 58,907, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 11 × 31 × 1361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 523,008

Proper Divisor Sum 58,907

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #464089 ← → #464119

Radix Representation

Decimal	464101
Binary	1110001010011100101 (19 bits)
Octal	0o1612345
Hexadecimal	0x714E5

Divisor Catalog (8)

1 11 31 341 1,361 14,971 42,191 464,101

Collatz Trajectory (182 steps to reach 1)

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

464,101 1,392,304 696,152 348,076 174,038 87,019 261,058 130,529 391,588 195,794 97,897 293,692 146,846 73,423 220,270 110,135 330,406 165,203 495,610 247,805 743,416 371,708 185,854 92,927 278,782 139,391 418,174 209,087 627,262 313,631 940,894 470,447 1,411,342 705,671 2,117,014 1,058,507 3,175,522 1,587,761 4,763,284 2,381,642 1,190,821 3,572,464 1,786,232 893,116 446,558 223,279 669,838 334,919 1,004,758 502,379 1,507,138 753,569 2,260,708 1,130,354 565,177 1,695,532 847,766 423,883 1,271,650 635,825

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