461,741

7 × 65963

461,741 factors as 7 × 65963. Its 4 positive divisors give a proper-divisor sum of 65,971, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 7 × 65963

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 527,712

Proper Divisor Sum 65,971

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #461717 ← → #461801

Radix Representation

Decimal	461741
Binary	1110000101110101101 (19 bits)
Octal	0o1605655
Hexadecimal	0x70BAD

Divisor Catalog (4)

1 7 65,963 461,741

Collatz Trajectory (169 steps to reach 1)

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

461,741 1,385,224 692,612 346,306 173,153 519,460 259,730 129,865 389,596 194,798 97,399 292,198 146,099 438,298 219,149 657,448 328,724 164,362 82,181 246,544 123,272 61,636 30,818 15,409 46,228 23,114 11,557 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82

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