λ
Integer Codex

5,506,721

11 × 191 × 2621
Deficient Odd Composite

For 5,506,721, the 8 positive divisors have a total of 6,041,088. Removing 5,506,721 leaves 534,367, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 191 × 2621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,041,088
Proper Divisor Sum 534,367
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5506717 ← → #5506727

Radix Representation

Decimal 5506721
Binary 10101000000011010100001 (23 bits)
Octal 0o25003241
Hexadecimal 0x5406A1

Divisor Catalog (8)

1 11 191 2,101 2,621 28,831 500,611 5,506,721

Collatz Trajectory (263 steps to reach 1)

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

5,506,721 16,520,164 8,260,082 4,130,041 12,390,124 6,195,062 3,097,531 9,292,594 4,646,297 13,938,892 6,969,446 3,484,723 10,454,170 5,227,085 15,681,256 7,840,628 3,920,314 1,960,157 5,880,472 2,940,236 1,470,118 735,059 2,205,178 1,102,589 3,307,768 1,653,884 826,942 413,471 1,240,414 620,207 1,860,622 930,311 2,790,934 1,395,467 4,186,402 2,093,201 6,279,604 3,139,802 1,569,901 4,709,704 2,354,852 1,177,426 588,713 1,766,140 883,070 441,535 1,324,606 662,303 1,986,910 993,455 2,980,366 1,490,183 4,470,550 2,235,275 6,705,826 3,352,913 10,058,740 5,029,370 2,514,685 7,544,056

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