6,835,977

3² × 759553

6,835,977 factors as 3^2 × 759553. Its 6 positive divisors give a proper-divisor sum of 3,038,225, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^2 × 759553

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,874,202

Proper Divisor Sum 3,038,225

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6835931 ← → #6835979

Radix Representation

Decimal	6835977
Binary	11010000100111100001001 (23 bits)
Octal	0o32047411
Hexadecimal	0x684F09

Divisor Catalog (6)

1 3 9 759,553 2,278,659 6,835,977

Collatz Trajectory (160 steps to reach 1)

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

6,835,977 20,507,932 10,253,966 5,126,983 15,380,950 7,690,475 23,071,426 11,535,713 34,607,140 17,303,570 8,651,785 25,955,356 12,977,678 6,488,839 19,466,518 9,733,259 29,199,778 14,599,889 43,799,668 21,899,834 10,949,917 32,849,752 16,424,876 8,212,438 4,106,219 12,318,658 6,159,329 18,477,988 9,238,994 4,619,497 13,858,492 6,929,246 3,464,623 10,393,870 5,196,935 15,590,806 7,795,403 23,386,210 11,693,105 35,079,316 17,539,658 8,769,829 26,309,488 13,154,744 6,577,372 3,288,686 1,644,343 4,933,030 2,466,515 7,399,546 3,699,773 11,099,320 5,549,660 2,774,830 1,387,415 4,162,246 2,081,123 6,243,370 3,121,685 9,365,056

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