λ
Ratio Atlas

76,133,947

76133947
Deficient Odd Prime

76,133,947 factors as 76133947. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 76133947
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 76,133,948
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #76133929 ← → #76133977

Radix Representation

Decimal 76133947
Binary 100100010011011011000111011 (27 bits)
Octal 0o442333073
Hexadecimal 0x489B63B

Divisor Catalog (2)

Collatz Trajectory (285 steps to reach 1)

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

76,133,947 228,401,842 114,200,921 342,602,764 171,301,382 85,650,691 256,952,074 128,476,037 385,428,112 192,714,056 96,357,028 48,178,514 24,089,257 72,267,772 36,133,886 18,066,943 54,200,830 27,100,415 81,301,246 40,650,623 121,951,870 60,975,935 182,927,806 91,463,903 274,391,710 137,195,855 411,587,566 205,793,783 617,381,350 308,690,675 926,072,026 463,036,013 1,389,108,040 694,554,020 347,277,010 173,638,505 520,915,516 260,457,758 130,228,879 390,686,638 195,343,319 586,029,958 293,014,979 879,044,938 439,522,469 1,318,567,408 659,283,704 329,641,852 164,820,926 82,410,463 247,231,390 123,615,695 370,847,086 185,423,543 556,270,630 278,135,315 834,405,946 417,202,973 1,251,608,920 625,804,460

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