λ
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Atlas › Integer Profiles › Node 4,536,385

4,536,385

5 × 7 × 31 × 37 × 113
Deficient Odd Composite

4,536,385 factors as 5 × 7 × 31 × 37 × 113. Its 32 positive divisors give a proper-divisor sum of 2,117,567, so this integer is deficient. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 5 × 7 × 31 × 37 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,653,952
Proper Divisor Sum 2,117,567
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4536377 ← → #4536401

Radix Representation

Decimal 4536385
Binary 10001010011100001000001 (23 bits)
Octal 0o21234101
Hexadecimal 0x453841

Divisor Catalog (32)

1 5 7 31 35 37 113 155 185 217 259 565 791 1,085 1,147 1,295 3,503 3,955 4,181 5,735 8,029 17,515 20,905 24,521 29,267 40,145 122,605 129,611 146,335 648,055 907,277 4,536,385

Collatz Trajectory (286 steps to reach 1)

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

4,536,385 13,609,156 6,804,578 3,402,289 10,206,868 5,103,434 2,551,717 7,655,152 3,827,576 1,913,788 956,894 478,447 1,435,342 717,671 2,153,014 1,076,507 3,229,522 1,614,761 4,844,284 2,422,142 1,211,071 3,633,214 1,816,607 5,449,822 2,724,911 8,174,734 4,087,367 12,262,102 6,131,051 18,393,154 9,196,577 27,589,732 13,794,866 6,897,433 20,692,300 10,346,150 5,173,075 15,519,226 7,759,613 23,278,840 11,639,420 5,819,710 2,909,855 8,729,566 4,364,783 13,094,350 6,547,175 19,641,526 9,820,763 29,462,290 14,731,145 44,193,436 22,096,718 11,048,359 33,145,078 16,572,539 49,717,618 24,858,809 74,576,428 37,288,214

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