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Atlas › Integer Profiles › Node 4,862,935

4,862,935

5 × 7 × 11 × 17 × 743
Deficient Odd Composite

4,862,935 factors as 5 × 7 × 11 × 17 × 743. Its 32 positive divisors give a proper-divisor sum of 2,850,857, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,713,792
Proper Divisor Sum 2,850,857
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4862911 ← → #4862941

Radix Representation

Decimal 4862935
Binary 10010100011001111010111 (23 bits)
Octal 0o22431727
Hexadecimal 0x4A33D7

Divisor Catalog (32)

1 5 7 11 17 35 55 77 85 119 187 385 595 743 935 1,309 3,715 5,201 6,545 8,173 12,631 26,005 40,865 57,211 63,155 88,417 138,941 286,055 442,085 694,705 972,587 4,862,935

Collatz Trajectory (224 steps to reach 1)

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

4,862,935 14,588,806 7,294,403 21,883,210 10,941,605 32,824,816 16,412,408 8,206,204 4,103,102 2,051,551 6,154,654 3,077,327 9,231,982 4,615,991 13,847,974 6,923,987 20,771,962 10,385,981 31,157,944 15,578,972 7,789,486 3,894,743 11,684,230 5,842,115 17,526,346 8,763,173 26,289,520 13,144,760 6,572,380 3,286,190 1,643,095 4,929,286 2,464,643 7,393,930 3,696,965 11,090,896 5,545,448 2,772,724 1,386,362 693,181 2,079,544 1,039,772 519,886 259,943 779,830 389,915 1,169,746 584,873 1,754,620 877,310 438,655 1,315,966 657,983 1,973,950 986,975 2,960,926 1,480,463 4,441,390 2,220,695 6,662,086

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