λ
Ratio Atlas

57,770,011

13 × 607 × 7321
Deficient Odd Composite

57,770,011 factors as 13 × 607 × 7321. Its 8 positive divisors give a proper-divisor sum of 4,554,853, so this integer is deficient. The Collatz stopping time is 406 steps.

Prime Factor Structure

Factorization String 13 × 607 × 7321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 62,324,864
Proper Divisor Sum 4,554,853
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #57769991 ← → #57770021

Radix Representation

Decimal 57770011
Binary 11011100011000000000011011 (26 bits)
Octal 0o334300033
Hexadecimal 0x371801B

Divisor Catalog (8)

Collatz Trajectory (406 steps to reach 1)

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

57,770,011 173,310,034 86,655,017 259,965,052 129,982,526 64,991,263 194,973,790 97,486,895 292,460,686 146,230,343 438,691,030 219,345,515 658,036,546 329,018,273 987,054,820 493,527,410 246,763,705 740,291,116 370,145,558 185,072,779 555,218,338 277,609,169 832,827,508 416,413,754 208,206,877 624,620,632 312,310,316 156,155,158 78,077,579 234,232,738 117,116,369 351,349,108 175,674,554 87,837,277 263,511,832 131,755,916 65,877,958 32,938,979 98,816,938 49,408,469 148,225,408 74,112,704 37,056,352 18,528,176 9,264,088 4,632,044 2,316,022 1,158,011 3,474,034 1,737,017 5,211,052 2,605,526 1,302,763 3,908,290 1,954,145 5,862,436 2,931,218 1,465,609 4,396,828 2,198,414

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