4,419,972

2² × 3² × 122777

4,419,972 factors as 2^2 × 3^2 × 122777. Its 18 positive divisors give a proper-divisor sum of 6,752,826, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 122777

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,172,798

Proper Divisor Sum 6,752,826

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4419967 ← → #4419973

Radix Representation

Decimal	4419972
Binary	10000110111000110000100 (23 bits)
Octal	0o20670604
Hexadecimal	0x437184

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 122,777 245,554 368,331 491,108 736,662 1,104,993 1,473,324 2,209,986 4,419,972

Collatz Trajectory (242 steps to reach 1)

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

4,419,972 2,209,986 1,104,993 3,314,980 1,657,490 828,745 2,486,236 1,243,118 621,559 1,864,678 932,339 2,797,018 1,398,509 4,195,528 2,097,764 1,048,882 524,441 1,573,324 786,662 393,331 1,179,994 589,997 1,769,992 884,996 442,498 221,249 663,748 331,874 165,937 497,812 248,906 124,453 373,360 186,680 93,340 46,670 23,335 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036

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