λ
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Atlas › Integer Profiles › Node 96,035,152

96,035,152

24 × 53 × 269 × 421
Deficient Even Composite

96,035,152 factors as 2^4 × 53 × 269 × 421. Its 40 positive divisors give a proper-divisor sum of 94,700,408, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 269 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 190,735,560
Proper Divisor Sum 94,700,408
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #96035129 ← → #96035171

Radix Representation

Decimal 96035152
Binary 101101110010110000101010000 (27 bits)
Octal 0o556260520
Hexadecimal 0x5B96150

Divisor Catalog (40)

1 2 4 8 16 53 106 212 269 421 424 538 842 848 1,076 1,684 2,152 3,368 4,304 6,736 14,257 22,313 28,514 44,626 57,028 89,252 113,249 114,056 178,504 226,498 228,112 357,008 452,996 905,992 1,811,984 6,002,197 12,004,394 24,008,788 48,017,576 96,035,152

Collatz Trajectory (143 steps to reach 1)

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

96,035,152 48,017,576 24,008,788 12,004,394 6,002,197 18,006,592 9,003,296 4,501,648 2,250,824 1,125,412 562,706 281,353 844,060 422,030 211,015 633,046 316,523 949,570 474,785 1,424,356 712,178 356,089 1,068,268 534,134 267,067 801,202 400,601 1,201,804 600,902 300,451 901,354 450,677 1,352,032 676,016 338,008 169,004 84,502 42,251 126,754 63,377 190,132 95,066 47,533 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922

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