λ
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Atlas › Integer Profiles › Node 2,398,960

2,398,960

24 × 5 × 157 × 191
Abundant Even Composite

2,398,960 factors as 2^4 × 5 × 157 × 191. Its 40 positive divisors give a proper-divisor sum of 3,243,536, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 157 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,642,496
Proper Divisor Sum 3,243,536
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2398931 ← → #2398961

Radix Representation

Decimal 2398960
Binary 1001001001101011110000 (22 bits)
Octal 0o11115360
Hexadecimal 0x249AF0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 157 191 314 382 628 764 785 955 1,256 1,528 1,570 1,910 2,512 3,056 3,140 3,820 6,280 7,640 12,560 15,280 29,987 59,974 119,948 149,935 239,896 299,870 479,792 599,740 1,199,480 2,398,960

Collatz Trajectory (143 steps to reach 1)

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

2,398,960 1,199,480 599,740 299,870 149,935 449,806 224,903 674,710 337,355 1,012,066 506,033 1,518,100 759,050 379,525 1,138,576 569,288 284,644 142,322 71,161 213,484 106,742 53,371 160,114 80,057 240,172 120,086 60,043 180,130 90,065 270,196 135,098 67,549 202,648 101,324 50,662 25,331 75,994 37,997 113,992 56,996 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307

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