463,640

2³ × 5 × 67 × 173

463,640 factors as 2^3 × 5 × 67 × 173. Its 32 positive divisors give a proper-divisor sum of 601,240, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,064,880

Proper Divisor Sum 601,240

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #463633 ← → #463643

Radix Representation

Decimal	463640
Binary	1110001001100011000 (19 bits)
Octal	0o1611430
Hexadecimal	0x71318

Divisor Catalog (32)

1 2 4 5 8 10 20 40 67 134 173 268 335 346 536 670 692 865 1,340 1,384 1,730 2,680 3,460 6,920 11,591 23,182 46,364 57,955 92,728 115,910 231,820 463,640

Collatz Trajectory (169 steps to reach 1)

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

463,640 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83

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