λ
Integer Codex

2,628,583

31 × 84793
Deficient Odd Composite

For 2,628,583, the 4 positive divisors have a total of 2,713,408. Removing 2,628,583 leaves 84,825, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 84793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,713,408
Proper Divisor Sum 84,825
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2628581 ← → #2628599

Radix Representation

Decimal 2628583
Binary 1010000001101111100111 (22 bits)
Octal 0o12015747
Hexadecimal 0x281BE7

Divisor Catalog (4)

1 31 84,793 2,628,583

Collatz Trajectory (205 steps to reach 1)

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

2,628,583 7,885,750 3,942,875 11,828,626 5,914,313 17,742,940 8,871,470 4,435,735 13,307,206 6,653,603 19,960,810 9,980,405 29,941,216 14,970,608 7,485,304 3,742,652 1,871,326 935,663 2,806,990 1,403,495 4,210,486 2,105,243 6,315,730 3,157,865 9,473,596 4,736,798 2,368,399 7,105,198 3,552,599 10,657,798 5,328,899 15,986,698 7,993,349 23,980,048 11,990,024 5,995,012 2,997,506 1,498,753 4,496,260 2,248,130 1,124,065 3,372,196 1,686,098 843,049 2,529,148 1,264,574 632,287 1,896,862 948,431 2,845,294 1,422,647 4,267,942 2,133,971 6,401,914 3,200,957 9,602,872 4,801,436 2,400,718 1,200,359 3,601,078

More profiles

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