λ
Ratio Atlas

25,305,977

25305977
Deficient Odd Prime

25,305,977 factors as 25305977. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 317 steps.

Prime Factor Structure

Factorization String 25305977
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 25,305,978
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #25305949 ← → #25305983

Radix Representation

Decimal 25305977
Binary 1100000100010001101111001 (25 bits)
Octal 0o140421571
Hexadecimal 0x1822379

Divisor Catalog (2)

Collatz Trajectory (317 steps to reach 1)

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

25,305,977 75,917,932 37,958,966 18,979,483 56,938,450 28,469,225 85,407,676 42,703,838 21,351,919 64,055,758 32,027,879 96,083,638 48,041,819 144,125,458 72,062,729 216,188,188 108,094,094 54,047,047 162,141,142 81,070,571 243,211,714 121,605,857 364,817,572 182,408,786 91,204,393 273,613,180 136,806,590 68,403,295 205,209,886 102,604,943 307,814,830 153,907,415 461,722,246 230,861,123 692,583,370 346,291,685 1,038,875,056 519,437,528 259,718,764 129,859,382 64,929,691 194,789,074 97,394,537 292,183,612 146,091,806 73,045,903 219,137,710 109,568,855 328,706,566 164,353,283 493,059,850 246,529,925 739,589,776 369,794,888 184,897,444 92,448,722 46,224,361 138,673,084 69,336,542 34,668,271

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