8,735,697

3² × 970633

8,735,697 factors as 3^2 × 970633. Its 6 positive divisors give a proper-divisor sum of 3,882,545, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3^2 × 970633

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,618,242

Proper Divisor Sum 3,882,545

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8735681 ← → #8735711

Radix Representation

Decimal	8735697
Binary	100001010100101111010001 (24 bits)
Octal	0o41245721
Hexadecimal	0x854BD1

Divisor Catalog (6)

1 3 9 970,633 2,911,899 8,735,697

Collatz Trajectory (137 steps to reach 1)

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

8,735,697 26,207,092 13,103,546 6,551,773 19,655,320 9,827,660 4,913,830 2,456,915 7,370,746 3,685,373 11,056,120 5,528,060 2,764,030 1,382,015 4,146,046 2,073,023 6,219,070 3,109,535 9,328,606 4,664,303 13,992,910 6,996,455 20,989,366 10,494,683 31,484,050 15,742,025 47,226,076 23,613,038 11,806,519 35,419,558 17,709,779 53,129,338 26,564,669 79,694,008 39,847,004 19,923,502 9,961,751 29,885,254 14,942,627 44,827,882 22,413,941 67,241,824 33,620,912 16,810,456 8,405,228 4,202,614 2,101,307 6,303,922 3,151,961 9,455,884 4,727,942 2,363,971 7,091,914 3,545,957 10,637,872 5,318,936 2,659,468 1,329,734 664,867 1,994,602

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