4,752,152

2³ × 167 × 3557

4,752,152 factors as 2^3 × 167 × 3557. Its 16 positive divisors give a proper-divisor sum of 4,214,008, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 167 × 3557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,966,160

Proper Divisor Sum 4,214,008

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4752133 ← → #4752157

Radix Representation

Decimal	4752152
Binary	10010001000001100011000 (23 bits)
Octal	0o22101430
Hexadecimal	0x488318

Divisor Catalog (16)

1 2 4 8 167 334 668 1,336 3,557 7,114 14,228 28,456 594,019 1,188,038 2,376,076 4,752,152

Collatz Trajectory (193 steps to reach 1)

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

4,752,152 2,376,076 1,188,038 594,019 1,782,058 891,029 2,673,088 1,336,544 668,272 334,136 167,068 83,534 41,767 125,302 62,651 187,954 93,977 281,932 140,966 70,483 211,450 105,725 317,176 158,588 79,294 39,647 118,942 59,471 178,414 89,207 267,622 133,811 401,434 200,717 602,152 301,076 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026

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