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Atlas › Integer Profiles › Node 32,913,130

32,913,130

2 × 5 × 19 × 311 × 557
Deficient Even Composite

32,913,130 factors as 2 × 5 × 19 × 311 × 557. Its 32 positive divisors give a proper-divisor sum of 29,761,430, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 311 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,674,560
Proper Divisor Sum 29,761,430
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #32913121 ← → #32913151

Radix Representation

Decimal 32913130
Binary 1111101100011011011101010 (25 bits)
Octal 0o175433352
Hexadecimal 0x1F636EA

Divisor Catalog (32)

1 2 5 10 19 38 95 190 311 557 622 1,114 1,555 2,785 3,110 5,570 5,909 10,583 11,818 21,166 29,545 52,915 59,090 105,830 173,227 346,454 866,135 1,732,270 3,291,313 6,582,626 16,456,565 32,913,130

Collatz Trajectory (201 steps to reach 1)

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

32,913,130 16,456,565 49,369,696 24,684,848 12,342,424 6,171,212 3,085,606 1,542,803 4,628,410 2,314,205 6,942,616 3,471,308 1,735,654 867,827 2,603,482 1,301,741 3,905,224 1,952,612 976,306 488,153 1,464,460 732,230 366,115 1,098,346 549,173 1,647,520 823,760 411,880 205,940 102,970 51,485 154,456 77,228 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967

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