λ
Prime Ledger

3,598,608

24 × 3 × 13 × 73 × 79
Abundant Even Composite

3,598,608 has the prime decomposition 2^4 × 3 × 13 × 73 × 79. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 73 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 10,277,120
Proper Divisor Sum 6,678,512
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3598607 ← → #3598613

Radix Representation

Decimal 3598608
Binary 1101101110100100010000 (22 bits)
Octal 0o15564420
Hexadecimal 0x36E910

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 79 104 146 156 158 208 219 237 292 312 316 438 474 584 624 632 876 948 949 1,027 1,168 1,264 1,752 1,896 1,898 2,054 2,847 3,081 3,504 3,792 3,796 4,108 5,694 5,767 6,162 7,592 8,216 11,388 11,534 12,324 15,184 16,432 17,301 22,776

Collatz Trajectory (89 steps to reach 1)

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

3,598,608 1,799,304 899,652 449,826 224,913 674,740 337,370 168,685 506,056 253,028 126,514 63,257 189,772 94,886 47,443 142,330 71,165 213,496 106,748 53,374 26,687 80,062 40,031 120,094 60,047 180,142 90,071 270,214 135,107 405,322 202,661 607,984 303,992 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652 22,826

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