48,827,375

5³ × 97 × 4027

Prime Factor Structure

Factorization String 5^3 × 97 × 4027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,580,064

Proper Divisor Sum 12,752,689

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #48827371 ← → #48827381

Radix Representation

Decimal	48827375
Binary	10111010010000101111101111 (26 bits)
Octal	0o272205757
Hexadecimal	0x2E90BEF

Divisor Catalog (16)

1 5 25 97 125 485 2,425 4,027 12,125 20,135 100,675 390,619 503,375 1,953,095 9,765,475 48,827,375

Collatz Trajectory (186 steps to reach 1)

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

48,827,375 146,482,126 73,241,063 219,723,190 109,861,595 329,584,786 164,792,393 494,377,180 247,188,590 123,594,295 370,782,886 185,391,443 556,174,330 278,087,165 834,261,496 417,130,748 208,565,374 104,282,687 312,848,062 156,424,031 469,272,094 234,636,047 703,908,142 351,954,071 1,055,862,214 527,931,107 1,583,793,322 791,896,661 2,375,689,984 1,187,844,992 593,922,496 296,961,248 148,480,624 74,240,312 37,120,156 18,560,078 9,280,039 27,840,118 13,920,059 41,760,178 20,880,089 62,640,268 31,320,134 15,660,067 46,980,202 23,490,101 70,470,304 35,235,152 17,617,576 8,808,788 4,404,394 2,202,197 6,606,592 3,303,296 1,651,648 825,824 412,912 206,456 103,228 51,614

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