λ
Match Zalai

4,829,620

22 × 5 × 113 × 2137
Abundant Even Composite

4,829,620 factors as 2^2 × 5 × 113 × 2137. Its 24 positive divisors give a proper-divisor sum of 5,407,124, so this integer is abundant. The Collatz stopping time is 299 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 113 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,236,744
Proper Divisor Sum 5,407,124
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4829603 ← → #4829651

Radix Representation

Decimal 4829620
Binary 10010011011000110110100 (23 bits)
Octal 0o22330664
Hexadecimal 0x49B1B4

Divisor Catalog (24)

1 2 4 5 10 20 113 226 452 565 1,130 2,137 2,260 4,274 8,548 10,685 21,370 42,740 241,481 482,962 965,924 1,207,405 2,414,810 4,829,620

Collatz Trajectory (299 steps to reach 1)

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

4,829,620 2,414,810 1,207,405 3,622,216 1,811,108 905,554 452,777 1,358,332 679,166 339,583 1,018,750 509,375 1,528,126 764,063 2,292,190 1,146,095 3,438,286 1,719,143 5,157,430 2,578,715 7,736,146 3,868,073 11,604,220 5,802,110 2,901,055 8,703,166 4,351,583 13,054,750 6,527,375 19,582,126 9,791,063 29,373,190 14,686,595 44,059,786 22,029,893 66,089,680 33,044,840 16,522,420 8,261,210 4,130,605 12,391,816 6,195,908 3,097,954 1,548,977 4,646,932 2,323,466 1,161,733 3,485,200 1,742,600 871,300 435,650 217,825 653,476 326,738 163,369 490,108 245,054 122,527 367,582 183,791

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