λ
Sigma Notebook

4,735,639

17 × 163 × 1709
Deficient Odd Composite

4,735,639 is odd and not a perfect square. Its factorization is 17 × 163 × 1709 and its 8 divisors sum to 5,047,920.

Prime Factor Structure

Factorization String 17 × 163 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,047,920
Proper Divisor Sum 312,281
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4735609 ← → #4735651

Radix Representation

Decimal 4735639
Binary 10010000100001010010111 (23 bits)
Octal 0o22041227
Hexadecimal 0x484297

Divisor Catalog (8)

1 17 163 1,709 2,771 29,053 278,567 4,735,639

Collatz Trajectory (162 steps to reach 1)

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

4,735,639 14,206,918 7,103,459 21,310,378 10,655,189 31,965,568 15,982,784 7,991,392 3,995,696 1,997,848 998,924 499,462 249,731 749,194 374,597 1,123,792 561,896 280,948 140,474 70,237 210,712 105,356 52,678 26,339 79,018 39,509 118,528 59,264 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

More profiles

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