λ
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Atlas › Integer Profiles › Node 3,098,535

3,098,535

3 × 5 × 11 × 89 × 211
Deficient Odd Composite

3,098,535 factors as 3 × 5 × 11 × 89 × 211. Its 32 positive divisors give a proper-divisor sum of 2,396,505, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 89 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,495,040
Proper Divisor Sum 2,396,505
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3098531 ← → #3098561

Radix Representation

Decimal 3098535
Binary 1011110100011110100111 (22 bits)
Octal 0o13643647
Hexadecimal 0x2F47A7

Divisor Catalog (32)

1 3 5 11 15 33 55 89 165 211 267 445 633 979 1,055 1,335 2,321 2,937 3,165 4,895 6,963 11,605 14,685 18,779 34,815 56,337 93,895 206,569 281,685 619,707 1,032,845 3,098,535

Collatz Trajectory (89 steps to reach 1)

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

3,098,535 9,295,606 4,647,803 13,943,410 6,971,705 20,915,116 10,457,558 5,228,779 15,686,338 7,843,169 23,529,508 11,764,754 5,882,377 17,647,132 8,823,566 4,411,783 13,235,350 6,617,675 19,853,026 9,926,513 29,779,540 14,889,770 7,444,885 22,334,656 11,167,328 5,583,664 2,791,832 1,395,916 697,958 348,979 1,046,938 523,469 1,570,408 785,204 392,602 196,301 588,904 294,452 147,226 73,613 220,840 110,420 55,210 27,605 82,816 41,408 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280

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