λ
Ratio Atlas
Atlas › Integer Profiles › Node 96,087,009

96,087,009

3 × 172 × 192 × 307
Deficient Odd Composite

96,087,009 factors as 3 × 17^2 × 19^2 × 307. Its 36 positive divisors give a proper-divisor sum of 48,016,335, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3 × 17^2 × 19^2 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 144,103,344
Proper Divisor Sum 48,016,335
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #96087007 ← → #96087023

Radix Representation

Decimal 96087009
Binary 101101110100010101111100001 (27 bits)
Octal 0o556425741
Hexadecimal 0x5BA2BE1

Divisor Catalog (36)

1 3 17 19 51 57 289 307 323 361 867 921 969 1,083 5,219 5,491 5,833 6,137 15,657 16,473 17,499 18,411 88,723 99,161 104,329 110,827 266,169 297,483 312,987 332,481 1,685,737 1,884,059 5,057,211 5,652,177 32,029,003 96,087,009

Collatz Trajectory (117 steps to reach 1)

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

96,087,009 288,261,028 144,130,514 72,065,257 216,195,772 108,097,886 54,048,943 162,146,830 81,073,415 243,220,246 121,610,123 364,830,370 182,415,185 547,245,556 273,622,778 136,811,389 410,434,168 205,217,084 102,608,542 51,304,271 153,912,814 76,956,407 230,869,222 115,434,611 346,303,834 173,151,917 519,455,752 259,727,876 129,863,938 64,931,969 194,795,908 97,397,954 48,698,977 146,096,932 73,048,466 36,524,233 109,572,700 54,786,350 27,393,175 82,179,526 41,089,763 123,269,290 61,634,645 184,903,936 92,451,968 46,225,984 23,112,992 11,556,496 5,778,248 2,889,124 1,444,562 722,281 2,166,844 1,083,422 541,711 1,625,134 812,567 2,437,702 1,218,851 3,656,554

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