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Atlas › Integer Profiles › Node 58,828,245

58,828,245

3 × 5 × 7 × 17 × 32957
Deficient Odd Composite

58,828,245 factors as 3 × 5 × 7 × 17 × 32957. Its 32 positive divisors give a proper-divisor sum of 55,074,603, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 32957
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,902,848
Proper Divisor Sum 55,074,603
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #58828229 ← → #58828249

Radix Representation

Decimal 58828245
Binary 11100000011010010111010101 (26 bits)
Octal 0o340322725
Hexadecimal 0x381A5D5

Divisor Catalog (32)

1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1,785 32,957 98,871 164,785 230,699 494,355 560,269 692,097 1,153,495 1,680,807 2,801,345 3,460,485 3,921,883 8,404,035 11,765,649 19,609,415 58,828,245

Collatz Trajectory (88 steps to reach 1)

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

58,828,245 176,484,736 88,242,368 44,121,184 22,060,592 11,030,296 5,515,148 2,757,574 1,378,787 4,136,362 2,068,181 6,204,544 3,102,272 1,551,136 775,568 387,784 193,892 96,946 48,473 145,420 72,710 36,355 109,066 54,533 163,600 81,800 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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