λ
Sigma Notebook

5,496,168

23 × 3 × 17 × 19 × 709
Abundant Even Composite

5,496,168 is even and not a perfect square. Its factorization is 2^3 × 3 × 17 × 19 × 709 and its 64 divisors sum to 15,336,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 19 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,336,000
Proper Divisor Sum 9,839,832
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5496157 ← → #5496191

Radix Representation

Decimal 5496168
Binary 10100111101110101101000 (23 bits)
Octal 0o24756550
Hexadecimal 0x53DD68

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 709 969 1,292 1,418 1,938 2,127 2,584 2,836 3,876 4,254 5,672 7,752 8,508 12,053 13,471 17,016 24,106 26,942 36,159 40,413 48,212 53,884 72,318 80,826 96,424 107,768 144,636 161,652 229,007 289,272 323,304 458,014 687,021 916,028

Collatz Trajectory (95 steps to reach 1)

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

5,496,168 2,748,084 1,374,042 687,021 2,061,064 1,030,532 515,266 257,633 772,900 386,450 193,225 579,676 289,838 144,919 434,758 217,379 652,138 326,069 978,208 489,104 244,552 122,276 61,138 30,569 91,708 45,854 22,927 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971

More profiles

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