464,646

2 × 3 × 7 × 13 × 23 × 37

464,646 factors as 2 × 3 × 7 × 13 × 23 × 37. Its 64 positive divisors give a proper-divisor sum of 761,082, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 23 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,225,728

Proper Divisor Sum 761,082

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #464621 ← → #464647

Radix Representation

Decimal	464646
Binary	1110001011100000110 (19 bits)
Octal	0o1613406
Hexadecimal	0x71706

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 777 851 897 962 966 1,443 1,554 1,702 1,794 2,093 2,553 2,886 3,367 4,186 5,106 5,957 6,279 6,734 10,101 11,063 11,914 12,558 17,871 20,202 22,126 33,189 35,742 66,378

Collatz Trajectory (169 steps to reach 1)

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

464,646 232,323 696,970 348,485 1,045,456 522,728 261,364 130,682 65,341 196,024 98,012 49,006 24,503 73,510 36,755 110,266 55,133 165,400 82,700 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82

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