4,725,837

3³ × 383 × 457

4,725,837 factors as 3^3 × 383 × 457. Its 16 positive divisors give a proper-divisor sum of 2,309,043, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3^3 × 383 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,034,880

Proper Divisor Sum 2,309,043

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4725827 ← → #4725839

Radix Representation

Decimal	4725837
Binary	10010000001110001001101 (23 bits)
Octal	0o22016115
Hexadecimal	0x481C4D

Divisor Catalog (16)

1 3 9 27 383 457 1,149 1,371 3,447 4,113 10,341 12,339 175,031 525,093 1,575,279 4,725,837

Collatz Trajectory (237 steps to reach 1)

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

4,725,837 14,177,512 7,088,756 3,544,378 1,772,189 5,316,568 2,658,284 1,329,142 664,571 1,993,714 996,857 2,990,572 1,495,286 747,643 2,242,930 1,121,465 3,364,396 1,682,198 841,099 2,523,298 1,261,649 3,784,948 1,892,474 946,237 2,838,712 1,419,356 709,678 354,839 1,064,518 532,259 1,596,778 798,389 2,395,168 1,197,584 598,792 299,396 149,698 74,849 224,548 112,274 56,137 168,412 84,206 42,103 126,310 63,155 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996

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