2,077,159

7² × 42391

2,077,159 factors as 7^2 × 42391. Its 6 positive divisors give a proper-divisor sum of 339,185, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 7^2 × 42391

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,416,344

Proper Divisor Sum 339,185

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2077151 ← → #2077181

Radix Representation

Decimal	2077159
Binary	111111011000111100111 (21 bits)
Octal	0o7730747
Hexadecimal	0x1FB1E7

Divisor Catalog (6)

1 7 49 42,391 296,737 2,077,159

Collatz Trajectory (135 steps to reach 1)

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

2,077,159 6,231,478 3,115,739 9,347,218 4,673,609 14,020,828 7,010,414 3,505,207 10,515,622 5,257,811 15,773,434 7,886,717 23,660,152 11,830,076 5,915,038 2,957,519 8,872,558 4,436,279 13,308,838 6,654,419 19,963,258 9,981,629 29,944,888 14,972,444 7,486,222 3,743,111 11,229,334 5,614,667 16,844,002 8,422,001 25,266,004 12,633,002 6,316,501 18,949,504 9,474,752 4,737,376 2,368,688 1,184,344 592,172 296,086 148,043 444,130 222,065 666,196 333,098 166,549 499,648 249,824 124,912 62,456 31,228 15,614 7,807 23,422 11,711 35,134 17,567 52,702 26,351 79,054

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