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Atlas › Integer Profiles › Node 4,495,582

4,495,582

2 × 7 × 13 × 17 × 1453
Deficient Even Composite

4,495,582 factors as 2 × 7 × 13 × 17 × 1453. Its 32 positive divisors give a proper-divisor sum of 4,298,210, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 17 × 1453
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,793,792
Proper Divisor Sum 4,298,210
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4495577 ← → #4495591

Radix Representation

Decimal 4495582
Binary 10001001001100011011110 (23 bits)
Octal 0o21114336
Hexadecimal 0x4498DE

Divisor Catalog (32)

1 2 7 13 14 17 26 34 91 119 182 221 238 442 1,453 1,547 2,906 3,094 10,171 18,889 20,342 24,701 37,778 49,402 132,223 172,907 264,446 321,113 345,814 642,226 2,247,791 4,495,582

Collatz Trajectory (180 steps to reach 1)

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

4,495,582 2,247,791 6,743,374 3,371,687 10,115,062 5,057,531 15,172,594 7,586,297 22,758,892 11,379,446 5,689,723 17,069,170 8,534,585 25,603,756 12,801,878 6,400,939 19,202,818 9,601,409 28,804,228 14,402,114 7,201,057 21,603,172 10,801,586 5,400,793 16,202,380 8,101,190 4,050,595 12,151,786 6,075,893 18,227,680 9,113,840 4,556,920 2,278,460 1,139,230 569,615 1,708,846 854,423 2,563,270 1,281,635 3,844,906 1,922,453 5,767,360 2,883,680 1,441,840 720,920 360,460 180,230 90,115 270,346 135,173 405,520 202,760 101,380 50,690 25,345 76,036 38,018 19,009 57,028 28,514

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