48,410,165

5 × 83 × 157 × 743

48,410,165 factors as 5 × 83 × 157 × 743. Its 16 positive divisors give a proper-divisor sum of 10,836,043, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 5 × 83 × 157 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,246,208

Proper Divisor Sum 10,836,043

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #48410137 ← → #48410179

Radix Representation

Decimal	48410165
Binary	10111000101010111000110101 (26 bits)
Octal	0o270527065
Hexadecimal	0x2E2AE35

Divisor Catalog (16)

1 5 83 157 415 743 785 3,715 13,031 61,669 65,155 116,651 308,345 583,255 9,682,033 48,410,165

Collatz Trajectory (137 steps to reach 1)

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

48,410,165 145,230,496 72,615,248 36,307,624 18,153,812 9,076,906 4,538,453 13,615,360 6,807,680 3,403,840 1,701,920 850,960 425,480 212,740 106,370 53,185 159,556 79,778 39,889 119,668 59,834 29,917 89,752 44,876 22,438 11,219 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191

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