2,416,636

2² × 31 × 19489

2,416,636 factors as 2^2 × 31 × 19489. Its 12 positive divisors give a proper-divisor sum of 1,949,124, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 19489

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,365,760

Proper Divisor Sum 1,949,124

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2416619 ← → #2416649

Radix Representation

Decimal	2416636
Binary	1001001101111111111100 (22 bits)
Octal	0o11157774
Hexadecimal	0x24DFFC

Divisor Catalog (12)

1 2 4 31 62 124 19,489 38,978 77,956 604,159 1,208,318 2,416,636

Collatz Trajectory (205 steps to reach 1)

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

2,416,636 1,208,318 604,159 1,812,478 906,239 2,718,718 1,359,359 4,078,078 2,039,039 6,117,118 3,058,559 9,175,678 4,587,839 13,763,518 6,881,759 20,645,278 10,322,639 30,967,918 15,483,959 46,451,878 23,225,939 69,677,818 34,838,909 104,516,728 52,258,364 26,129,182 13,064,591 39,193,774 19,596,887 58,790,662 29,395,331 88,185,994 44,092,997 132,278,992 66,139,496 33,069,748 16,534,874 8,267,437 24,802,312 12,401,156 6,200,578 3,100,289 9,300,868 4,650,434 2,325,217 6,975,652 3,487,826 1,743,913 5,231,740 2,615,870 1,307,935 3,923,806 1,961,903 5,885,710 2,942,855 8,828,566 4,414,283 13,242,850 6,621,425 19,864,276

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