460,041

3 × 89 × 1723

460,041 factors as 3 × 89 × 1723. Its 8 positive divisors give a proper-divisor sum of 160,599, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 89 × 1723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 620,640

Proper Divisor Sum 160,599

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #460039 ← → #460051

Radix Representation

Decimal	460041
Binary	1110000010100001001 (19 bits)
Octal	0o1602411
Hexadecimal	0x70509

Divisor Catalog (8)

1 3 89 267 1,723 5,169 153,347 460,041

Collatz Trajectory (200 steps to reach 1)

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

460,041 1,380,124 690,062 345,031 1,035,094 517,547 1,552,642 776,321 2,328,964 1,164,482 582,241 1,746,724 873,362 436,681 1,310,044 655,022 327,511 982,534 491,267 1,473,802 736,901 2,210,704 1,105,352 552,676 276,338 138,169 414,508 207,254 103,627 310,882 155,441 466,324 233,162 116,581 349,744 174,872 87,436 43,718 21,859 65,578 32,789 98,368 49,184 24,592 12,296 6,148 3,074 1,537 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487

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