λ
Math Directory

5,642,678

2 × 757 × 3727
Deficient Even Composite

5,642,678 factors as 2 × 757 × 3727. Its 8 positive divisors give a proper-divisor sum of 2,834,794, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 757 × 3727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,477,472
Proper Divisor Sum 2,834,794
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5642669 ← → #5642687

Radix Representation

Decimal 5642678
Binary 10101100001100110110110 (23 bits)
Octal 0o25414666
Hexadecimal 0x5619B6

Divisor Catalog (8)

1 2 757 1,514 3,727 7,454 2,821,339 5,642,678

Collatz Trajectory (157 steps to reach 1)

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

5,642,678 2,821,339 8,464,018 4,232,009 12,696,028 6,348,014 3,174,007 9,522,022 4,761,011 14,283,034 7,141,517 21,424,552 10,712,276 5,356,138 2,678,069 8,034,208 4,017,104 2,008,552 1,004,276 502,138 251,069 753,208 376,604 188,302 94,151 282,454 141,227 423,682 211,841 635,524 317,762 158,881 476,644 238,322 119,161 357,484 178,742 89,371 268,114 134,057 402,172 201,086 100,543 301,630 150,815 452,446 226,223 678,670 339,335 1,018,006 509,003 1,527,010 763,505 2,290,516 1,145,258 572,629 1,717,888 858,944 429,472 214,736

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