λ
Matchaa Zalai

2,407,107

3 × 353 × 2273
Deficient Odd Composite

2,407,107 factors as 3 × 353 × 2273. Its 8 positive divisors give a proper-divisor sum of 812,877, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3 × 353 × 2273
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,219,984
Proper Divisor Sum 812,877
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2407103 ← → #2407117

Radix Representation

Decimal 2407107
Binary 1001001011101011000011 (22 bits)
Octal 0o11135303
Hexadecimal 0x24BAC3

Divisor Catalog (8)

1 3 353 1,059 2,273 6,819 802,369 2,407,107

Collatz Trajectory (117 steps to reach 1)

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

2,407,107 7,221,322 3,610,661 10,831,984 5,415,992 2,707,996 1,353,998 676,999 2,030,998 1,015,499 3,046,498 1,523,249 4,569,748 2,284,874 1,142,437 3,427,312 1,713,656 856,828 428,414 214,207 642,622 321,311 963,934 481,967 1,445,902 722,951 2,168,854 1,084,427 3,253,282 1,626,641 4,879,924 2,439,962 1,219,981 3,659,944 1,829,972 914,986 457,493 1,372,480 686,240 343,120 171,560 85,780 42,890 21,445 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425

More profiles

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