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Atlas › Integer Profiles › Node 16,626,465

16,626,465

34 × 5 × 61 × 673
Deficient Odd Composite

16,626,465 factors as 3^4 × 5 × 61 × 673. Its 40 positive divisors give a proper-divisor sum of 13,711,623, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 61 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 30,338,088
Proper Divisor Sum 13,711,623
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #16626451 ← → #16626469

Radix Representation

Decimal 16626465
Binary 111111011011001100100001 (24 bits)
Octal 0o77331441
Hexadecimal 0xFDB321

Divisor Catalog (40)

1 3 5 9 15 27 45 61 81 135 183 305 405 549 673 915 1,647 2,019 2,745 3,365 4,941 6,057 8,235 10,095 18,171 24,705 30,285 41,053 54,513 90,855 123,159 205,265 272,565 369,477 615,795 1,108,431 1,847,385 3,325,293 5,542,155 16,626,465

Collatz Trajectory (156 steps to reach 1)

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

16,626,465 49,879,396 24,939,698 12,469,849 37,409,548 18,704,774 9,352,387 28,057,162 14,028,581 42,085,744 21,042,872 10,521,436 5,260,718 2,630,359 7,891,078 3,945,539 11,836,618 5,918,309 17,754,928 8,877,464 4,438,732 2,219,366 1,109,683 3,329,050 1,664,525 4,993,576 2,496,788 1,248,394 624,197 1,872,592 936,296 468,148 234,074 117,037 351,112 175,556 87,778 43,889 131,668 65,834 32,917 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932

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