λ
Integer Codex

5,467,696

24 × 13 × 97 × 271
Abundant Even Composite

For 5,467,696, the 40 positive divisors have a total of 11,568,704. Removing 5,467,696 leaves 6,101,008, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 13 × 97 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,568,704
Proper Divisor Sum 6,101,008
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5467681 ← → #5467697

Radix Representation

Decimal 5467696
Binary 10100110110111000110000 (23 bits)
Octal 0o24667060
Hexadecimal 0x536E30

Divisor Catalog (40)

1 2 4 8 13 16 26 52 97 104 194 208 271 388 542 776 1,084 1,261 1,552 2,168 2,522 3,523 4,336 5,044 7,046 10,088 14,092 20,176 26,287 28,184 52,574 56,368 105,148 210,296 341,731 420,592 683,462 1,366,924 2,733,848 5,467,696

Collatz Trajectory (56 steps to reach 1)

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

5,467,696 2,733,848 1,366,924 683,462 341,731 1,025,194 512,597 1,537,792 768,896 384,448 192,224 96,112 48,056 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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