λ
Ratio Atlas

77,310,895

5 × 2557 × 6047
Deficient Odd Composite

77,310,895 factors as 5 × 2557 × 6047. Its 8 positive divisors give a proper-divisor sum of 15,513,809, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 5 × 2557 × 6047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 92,824,704
Proper Divisor Sum 15,513,809
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #77310887 ← → #77310913

Radix Representation

Decimal 77310895
Binary 100100110111010101110101111 (27 bits)
Octal 0o446725657
Hexadecimal 0x49BABAF

Divisor Catalog (8)

Collatz Trajectory (254 steps to reach 1)

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

77,310,895 231,932,686 115,966,343 347,899,030 173,949,515 521,848,546 260,924,273 782,772,820 391,386,410 195,693,205 587,079,616 293,539,808 146,769,904 73,384,952 36,692,476 18,346,238 9,173,119 27,519,358 13,759,679 41,279,038 20,639,519 61,918,558 30,959,279 92,877,838 46,438,919 139,316,758 69,658,379 208,975,138 104,487,569 313,462,708 156,731,354 78,365,677 235,097,032 117,548,516 58,774,258 29,387,129 88,161,388 44,080,694 22,040,347 66,121,042 33,060,521 99,181,564 49,590,782 24,795,391 74,386,174 37,193,087 111,579,262 55,789,631 167,368,894 83,684,447 251,053,342 125,526,671 376,580,014 188,290,007 564,870,022 282,435,011 847,305,034 423,652,517 1,270,957,552 635,478,776

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