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Atlas › Integer Profiles › Node 32,069,745

32,069,745

32 × 5 × 47 × 59 × 257
Deficient Odd Composite

32,069,745 factors as 3^2 × 5 × 47 × 59 × 257. Its 48 positive divisors give a proper-divisor sum of 25,887,375, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 47 × 59 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 57,957,120
Proper Divisor Sum 25,887,375
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #32069743 ← → #32069759

Radix Representation

Decimal 32069745
Binary 1111010010101100001110001 (25 bits)
Octal 0o172254161
Hexadecimal 0x1E95871

Divisor Catalog (48)

1 3 5 9 15 45 47 59 141 177 235 257 295 423 531 705 771 885 1,285 2,115 2,313 2,655 2,773 3,855 8,319 11,565 12,079 13,865 15,163 24,957 36,237 41,595 45,489 60,395 75,815 108,711 124,785 136,467 181,185 227,445 543,555 682,335 712,661 2,137,983 3,563,305 6,413,949 10,689,915 32,069,745

Collatz Trajectory (144 steps to reach 1)

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

32,069,745 96,209,236 48,104,618 24,052,309 72,156,928 36,078,464 18,039,232 9,019,616 4,509,808 2,254,904 1,127,452 563,726 281,863 845,590 422,795 1,268,386 634,193 1,902,580 951,290 475,645 1,426,936 713,468 356,734 178,367 535,102 267,551 802,654 401,327 1,203,982 601,991 1,805,974 902,987 2,708,962 1,354,481 4,063,444 2,031,722 1,015,861 3,047,584 1,523,792 761,896 380,948 190,474 95,237 285,712 142,856 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651

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