λ
Ratio Atlas

46,357,417

46357417
Deficient Odd Prime

46,357,417 factors as 46357417. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 46357417
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 46,357,418
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #46357393 ← → #46357427

Radix Representation

Decimal 46357417
Binary 10110000110101101110101001 (26 bits)
Octal 0o260655651
Hexadecimal 0x2C35BA9

Divisor Catalog (2)

Collatz Trajectory (217 steps to reach 1)

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

46,357,417 139,072,252 69,536,126 34,768,063 104,304,190 52,152,095 156,456,286 78,228,143 234,684,430 117,342,215 352,026,646 176,013,323 528,039,970 264,019,985 792,059,956 396,029,978 198,014,989 594,044,968 297,022,484 148,511,242 74,255,621 222,766,864 111,383,432 55,691,716 27,845,858 13,922,929 41,768,788 20,884,394 10,442,197 31,326,592 15,663,296 7,831,648 3,915,824 1,957,912 978,956 489,478 244,739 734,218 367,109 1,101,328 550,664 275,332 137,666 68,833 206,500 103,250 51,625 154,876 77,438 38,719 116,158 58,079 174,238 87,119 261,358 130,679 392,038 196,019 588,058 294,029

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