λ
Match Zalai

5,334,860

22 × 5 × 157 × 1699
Abundant Even Composite

5,334,860 factors as 2^2 × 5 × 157 × 1699. Its 24 positive divisors give a proper-divisor sum of 5,946,340, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 157 × 1699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,281,200
Proper Divisor Sum 5,946,340
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5334859 ← → #5334863

Radix Representation

Decimal 5334860
Binary 10100010110011101001100 (23 bits)
Octal 0o24263514
Hexadecimal 0x51674C

Divisor Catalog (24)

1 2 4 5 10 20 157 314 628 785 1,570 1,699 3,140 3,398 6,796 8,495 16,990 33,980 266,743 533,486 1,066,972 1,333,715 2,667,430 5,334,860

Collatz Trajectory (95 steps to reach 1)

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

5,334,860 2,667,430 1,333,715 4,001,146 2,000,573 6,001,720 3,000,860 1,500,430 750,215 2,250,646 1,125,323 3,375,970 1,687,985 5,063,956 2,531,978 1,265,989 3,797,968 1,898,984 949,492 474,746 237,373 712,120 356,060 178,030 89,015 267,046 133,523 400,570 200,285 600,856 300,428 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856

More profiles

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