λ
Ratio Atlas

4,891,430

2 × 5 × 29 × 101 × 167
Deficient Even Composite

4,891,430 factors as 2 × 5 × 29 × 101 × 167. Its 32 positive divisors give a proper-divisor sum of 4,362,010, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 101 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,253,440
Proper Divisor Sum 4,362,010
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4891429 ← → #4891457

Radix Representation

Decimal 4891430
Binary 10010101010001100100110 (23 bits)
Octal 0o22521446
Hexadecimal 0x4AA326

Divisor Catalog (32)

1 2 5 10 29 58 101 145 167 202 290 334 505 835 1,010 1,670 2,929 4,843 5,858 9,686 14,645 16,867 24,215 29,290 33,734 48,430 84,335 168,670 489,143 978,286 2,445,715 4,891,430

Collatz Trajectory (113 steps to reach 1)

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

4,891,430 2,445,715 7,337,146 3,668,573 11,005,720 5,502,860 2,751,430 1,375,715 4,127,146 2,063,573 6,190,720 3,095,360 1,547,680 773,840 386,920 193,460 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182

More profiles

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