λ
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4,485,012

22 × 3 × 7 × 107 × 499
Abundant Even Composite

4,485,012 factors as 2^2 × 3 × 7 × 107 × 499. Its 48 positive divisors give a proper-divisor sum of 7,610,988, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 107 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,096,000
Proper Divisor Sum 7,610,988
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4485001 ← → #4485043

Radix Representation

Decimal 4485012
Binary 10001000110111110010100 (23 bits)
Octal 0o21067624
Hexadecimal 0x446F94

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 499 642 749 998 1,284 1,497 1,498 1,996 2,247 2,994 2,996 3,493 4,494 5,988 6,986 8,988 10,479 13,972 20,958 41,916 53,393 106,786 160,179 213,572 320,358 373,751 640,716 747,502 1,121,253 1,495,004 2,242,506 4,485,012

Collatz Trajectory (224 steps to reach 1)

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

4,485,012 2,242,506 1,121,253 3,363,760 1,681,880 840,940 420,470 210,235 630,706 315,353 946,060 473,030 236,515 709,546 354,773 1,064,320 532,160 266,080 133,040 66,520 33,260 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750

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