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Atlas › Integer Profiles › Node 32,095,048

32,095,048

23 × 17 × 409 × 577
Deficient Even Composite

32,095,048 factors as 2^3 × 17 × 409 × 577. Its 32 positive divisors give a proper-divisor sum of 31,889,552, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 409 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,984,600
Proper Divisor Sum 31,889,552
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32095033 ← → #32095079

Radix Representation

Decimal 32095048
Binary 1111010011011101101001000 (25 bits)
Octal 0o172335510
Hexadecimal 0x1E9BB48

Divisor Catalog (32)

1 2 4 8 17 34 68 136 409 577 818 1,154 1,636 2,308 3,272 4,616 6,953 9,809 13,906 19,618 27,812 39,236 55,624 78,472 235,993 471,986 943,972 1,887,944 4,011,881 8,023,762 16,047,524 32,095,048

Collatz Trajectory (188 steps to reach 1)

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

32,095,048 16,047,524 8,023,762 4,011,881 12,035,644 6,017,822 3,008,911 9,026,734 4,513,367 13,540,102 6,770,051 20,310,154 10,155,077 30,465,232 15,232,616 7,616,308 3,808,154 1,904,077 5,712,232 2,856,116 1,428,058 714,029 2,142,088 1,071,044 535,522 267,761 803,284 401,642 200,821 602,464 301,232 150,616 75,308 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656

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