460,060

2² × 5 × 23003

460,060 factors as 2^2 × 5 × 23003. Its 12 positive divisors give a proper-divisor sum of 506,108, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 966,168

Proper Divisor Sum 506,108

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #460051 ← → #460063

Radix Representation

Decimal	460060
Binary	1110000010100011100 (19 bits)
Octal	0o1602434
Hexadecimal	0x7051C

Divisor Catalog (12)

1 2 4 5 10 20 23,003 46,006 92,012 115,015 230,030 460,060

Collatz Trajectory (138 steps to reach 1)

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

460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567 436,702 218,351 655,054 327,527 982,582 491,291 1,473,874 736,937 2,210,812 1,105,406 552,703 1,658,110 829,055 2,487,166 1,243,583 3,730,750 1,865,375 5,596,126 2,798,063 8,394,190 4,197,095 12,591,286 6,295,643 18,886,930 9,443,465 28,330,396 14,165,198 7,082,599 21,247,798 10,623,899 31,871,698 15,935,849 47,807,548 23,903,774 11,951,887 35,855,662 17,927,831 53,783,494 26,891,747 80,675,242 40,337,621 121,012,864 60,506,432 30,253,216 15,126,608 7,563,304 3,781,652

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