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Atlas › Integer Profiles › Node 5,645,367

5,645,367

32 × 7 × 13 × 61 × 113
Deficient Odd Composite

5,645,367 factors as 3^2 × 7 × 13 × 61 × 113. Its 48 positive divisors give a proper-divisor sum of 4,645,641, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 61 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,291,008
Proper Divisor Sum 4,645,641
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5645347 ← → #5645383

Radix Representation

Decimal 5645367
Binary 10101100010010000110111 (23 bits)
Octal 0o25422067
Hexadecimal 0x562437

Divisor Catalog (48)

1 3 7 9 13 21 39 61 63 91 113 117 183 273 339 427 549 791 793 819 1,017 1,281 1,469 2,373 2,379 3,843 4,407 5,551 6,893 7,119 7,137 10,283 13,221 16,653 20,679 30,849 48,251 49,959 62,037 89,609 92,547 144,753 268,827 434,259 627,263 806,481 1,881,789 5,645,367

Collatz Trajectory (157 steps to reach 1)

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

5,645,367 16,936,102 8,468,051 25,404,154 12,702,077 38,106,232 19,053,116 9,526,558 4,763,279 14,289,838 7,144,919 21,434,758 10,717,379 32,152,138 16,076,069 48,228,208 24,114,104 12,057,052 6,028,526 3,014,263 9,042,790 4,521,395 13,564,186 6,782,093 20,346,280 10,173,140 5,086,570 2,543,285 7,629,856 3,814,928 1,907,464 953,732 476,866 238,433 715,300 357,650 178,825 536,476 268,238 134,119 402,358 201,179 603,538 301,769 905,308 452,654 226,327 678,982 339,491 1,018,474 509,237 1,527,712 763,856 381,928 190,964 95,482 47,741 143,224 71,612 35,806

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