λ
Math Directory

1,841,772

22 × 3 × 31 × 4951
Abundant Even Composite

1,841,772 factors as 2^2 × 3 × 31 × 4951. Its 24 positive divisors give a proper-divisor sum of 2,595,220, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 4951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,436,992
Proper Divisor Sum 2,595,220
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1841759 ← → #1841779

Radix Representation

Decimal 1841772
Binary 111000001101001101100 (21 bits)
Octal 0o7015154
Hexadecimal 0x1C1A6C

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 4,951 9,902 14,853 19,804 29,706 59,412 153,481 306,962 460,443 613,924 920,886 1,841,772

Collatz Trajectory (277 steps to reach 1)

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

1,841,772 920,886 460,443 1,381,330 690,665 2,071,996 1,035,998 517,999 1,553,998 776,999 2,330,998 1,165,499 3,496,498 1,748,249 5,244,748 2,622,374 1,311,187 3,933,562 1,966,781 5,900,344 2,950,172 1,475,086 737,543 2,212,630 1,106,315 3,318,946 1,659,473 4,978,420 2,489,210 1,244,605 3,733,816 1,866,908 933,454 466,727 1,400,182 700,091 2,100,274 1,050,137 3,150,412 1,575,206 787,603 2,362,810 1,181,405 3,544,216 1,772,108 886,054 443,027 1,329,082 664,541 1,993,624 996,812 498,406 249,203 747,610 373,805 1,121,416 560,708 280,354 140,177 420,532

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