λ
Ratio Atlas

4,979,735

5 × 29 × 61 × 563
Deficient Odd Composite

4,979,735 factors as 5 × 29 × 61 × 563. Its 16 positive divisors give a proper-divisor sum of 1,314,505, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 5 × 29 × 61 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,294,240
Proper Divisor Sum 1,314,505
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4979717 ← → #4979743

Radix Representation

Decimal 4979735
Binary 10010111111110000010111 (23 bits)
Octal 0o22776027
Hexadecimal 0x4BFC17

Divisor Catalog (16)

1 5 29 61 145 305 563 1,769 2,815 8,845 16,327 34,343 81,635 171,715 995,947 4,979,735

Collatz Trajectory (82 steps to reach 1)

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

4,979,735 14,939,206 7,469,603 22,408,810 11,204,405 33,613,216 16,806,608 8,403,304 4,201,652 2,100,826 1,050,413 3,151,240 1,575,620 787,810 393,905 1,181,716 590,858 295,429 886,288 443,144 221,572 110,786 55,393 166,180 83,090 41,545 124,636 62,318 31,159 93,478 46,739 140,218 70,109 210,328 105,164 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148

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