λ
Sigma Notebook

1,735,636

22 × 7 × 61987
Abundant Even Composite

1,735,636 is even and not a perfect square. Its factorization is 2^2 × 7 × 61987 and its 12 divisors sum to 3,471,328.

Prime Factor Structure

Factorization String 2^2 × 7 × 61987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,471,328
Proper Divisor Sum 1,735,692
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1735627 ← → #1735651

Radix Representation

Decimal 1735636
Binary 110100111101111010100 (21 bits)
Octal 0o6475724
Hexadecimal 0x1A7BD4

Divisor Catalog (12)

1 2 4 7 14 28 61,987 123,974 247,948 433,909 867,818 1,735,636

Collatz Trajectory (189 steps to reach 1)

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

1,735,636 867,818 433,909 1,301,728 650,864 325,432 162,716 81,358 40,679 122,038 61,019 183,058 91,529 274,588 137,294 68,647 205,942 102,971 308,914 154,457 463,372 231,686 115,843 347,530 173,765 521,296 260,648 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838

More profiles

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