5,055,752

2³ × 13 × 173 × 281

5,055,752 factors as 2^3 × 13 × 173 × 281. Its 32 positive divisors give a proper-divisor sum of 5,248,528, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 173 × 281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,304,280

Proper Divisor Sum 5,248,528

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5055709 ← → #5055781

Radix Representation

Decimal	5055752
Binary	10011010010010100001000 (23 bits)
Octal	0o23222410
Hexadecimal	0x4D2508

Divisor Catalog (32)

Collatz Trajectory (206 steps to reach 1)

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

5,055,752 2,527,876 1,263,938 631,969 1,895,908 947,954 473,977 1,421,932 710,966 355,483 1,066,450 533,225 1,599,676 799,838 399,919 1,199,758 599,879 1,799,638 899,819 2,699,458 1,349,729 4,049,188 2,024,594 1,012,297 3,036,892 1,518,446 759,223 2,277,670 1,138,835 3,416,506 1,708,253 5,124,760 2,562,380 1,281,190 640,595 1,921,786 960,893 2,882,680 1,441,340 720,670 360,335 1,081,006 540,503 1,621,510 810,755 2,432,266 1,216,133 3,648,400 1,824,200 912,100 456,050 228,025 684,076 342,038 171,019 513,058 256,529 769,588 384,794 192,397

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