5,777,420

2² × 5 × 11 × 26261

5,777,420 factors as 2^2 × 5 × 11 × 26261. Its 24 positive divisors give a proper-divisor sum of 7,458,628, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 26261

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,236,048

Proper Divisor Sum 7,458,628

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5777407 ← → #5777423

Radix Representation

Decimal	5777420
Binary	10110000010100000001100 (23 bits)
Octal	0o26024014
Hexadecimal	0x58280C

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

5,777,420 2,888,710 1,444,355 4,333,066 2,166,533 6,499,600 3,249,800 1,624,900 812,450 406,225 1,218,676 609,338 304,669 914,008 457,004 228,502 114,251 342,754 171,377 514,132 257,066 128,533 385,600 192,800 96,400 48,200 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019

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