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Atlas › Integer Profiles › Node 96,357,028

96,357,028

22 × 23 × 37 × 28307
Deficient Even Composite

96,357,028 factors as 2^2 × 23 × 37 × 28307. Its 24 positive divisors give a proper-divisor sum of 84,361,244, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 37 × 28307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 180,718,272
Proper Divisor Sum 84,361,244
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #96357013 ← → #96357029

Radix Representation

Decimal 96357028
Binary 101101111100100101010100100 (27 bits)
Octal 0o557445244
Hexadecimal 0x5BE4AA4

Divisor Catalog (24)

1 2 4 23 37 46 74 92 148 851 1,702 3,404 28,307 56,614 113,228 651,061 1,047,359 1,302,122 2,094,718 2,604,244 4,189,436 24,089,257 48,178,514 96,357,028

Collatz Trajectory (275 steps to reach 1)

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

96,357,028 48,178,514 24,089,257 72,267,772 36,133,886 18,066,943 54,200,830 27,100,415 81,301,246 40,650,623 121,951,870 60,975,935 182,927,806 91,463,903 274,391,710 137,195,855 411,587,566 205,793,783 617,381,350 308,690,675 926,072,026 463,036,013 1,389,108,040 694,554,020 347,277,010 173,638,505 520,915,516 260,457,758 130,228,879 390,686,638 195,343,319 586,029,958 293,014,979 879,044,938 439,522,469 1,318,567,408 659,283,704 329,641,852 164,820,926 82,410,463 247,231,390 123,615,695 370,847,086 185,423,543 556,270,630 278,135,315 834,405,946 417,202,973 1,251,608,920 625,804,460 312,902,230 156,451,115 469,353,346 234,676,673 704,030,020 352,015,010 176,007,505 528,022,516 264,011,258 132,005,629

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