73,642,007

73642007

73,642,007 factors as 73642007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 73642007

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 73,642,008

Proper Divisor Sum 1

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #73641989 ← → #73642031

Radix Representation

Decimal	73642007
Binary	100011000111011000000010111 (27 bits)
Octal	0o430730027
Hexadecimal	0x463B017

Divisor Catalog (2)

1 73,642,007

Collatz Trajectory (197 steps to reach 1)

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

73,642,007 220,926,022 110,463,011 331,389,034 165,694,517 497,083,552 248,541,776 124,270,888 62,135,444 31,067,722 15,533,861 46,601,584 23,300,792 11,650,396 5,825,198 2,912,599 8,737,798 4,368,899 13,106,698 6,553,349 19,660,048 9,830,024 4,915,012 2,457,506 1,228,753 3,686,260 1,843,130 921,565 2,764,696 1,382,348 691,174 345,587 1,036,762 518,381 1,555,144 777,572 388,786 194,393 583,180 291,590 145,795 437,386 218,693 656,080 328,040 164,020 82,010 41,005 123,016 61,508 30,754 15,377 46,132 23,066 11,533 34,600 17,300 8,650 4,325 12,976

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