λ
Integer Codex

5,507,873

7 × 61 × 12899
Deficient Odd Composite

For 5,507,873, the 8 positive divisors have a total of 6,398,400. Removing 5,507,873 leaves 890,527, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 61 × 12899
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,398,400
Proper Divisor Sum 890,527
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5507849 ← → #5507893

Radix Representation

Decimal 5507873
Binary 10101000000101100100001 (23 bits)
Octal 0o25005441
Hexadecimal 0x540B21

Divisor Catalog (8)

1 7 61 427 12,899 90,293 786,839 5,507,873

Collatz Trajectory (170 steps to reach 1)

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

5,507,873 16,523,620 8,261,810 4,130,905 12,392,716 6,196,358 3,098,179 9,294,538 4,647,269 13,941,808 6,970,904 3,485,452 1,742,726 871,363 2,614,090 1,307,045 3,921,136 1,960,568 980,284 490,142 245,071 735,214 367,607 1,102,822 551,411 1,654,234 827,117 2,481,352 1,240,676 620,338 310,169 930,508 465,254 232,627 697,882 348,941 1,046,824 523,412 261,706 130,853 392,560 196,280 98,140 49,070 24,535 73,606 36,803 110,410 55,205 165,616 82,808 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937

More profiles

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