4,462,010

2 × 5 × 7 × 63743

4,462,010 factors as 2 × 5 × 7 × 63743. Its 16 positive divisors give a proper-divisor sum of 4,717,126, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 63743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,179,136

Proper Divisor Sum 4,717,126

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4462009 ← → #4462013

Radix Representation

Decimal	4462010
Binary	10001000001010110111010 (23 bits)
Octal	0o21012672
Hexadecimal	0x4415BA

Divisor Catalog (16)

1 2 5 7 10 14 35 70 63,743 127,486 318,715 446,201 637,430 892,402 2,231,005 4,462,010

Collatz Trajectory (180 steps to reach 1)

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

4,462,010 2,231,005 6,693,016 3,346,508 1,673,254 836,627 2,509,882 1,254,941 3,764,824 1,882,412 941,206 470,603 1,411,810 705,905 2,117,716 1,058,858 529,429 1,588,288 794,144 397,072 198,536 99,268 49,634 24,817 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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