λ
Integer Codex

740,289

3 × 11 × 22433
Deficient Odd Composite

For 740,289, the 8 positive divisors have a total of 1,076,832. Removing 740,289 leaves 336,543, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 22433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,076,832
Proper Divisor Sum 336,543
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #740287 ← → #740303

Radix Representation

Decimal 740289
Binary 10110100101111000001 (20 bits)
Octal 0o2645701
Hexadecimal 0xB4BC1

Divisor Catalog (8)

1 3 11 33 22,433 67,299 246,763 740,289

Collatz Trajectory (74 steps to reach 1)

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

740,289 2,220,868 1,110,434 555,217 1,665,652 832,826 416,413 1,249,240 624,620 312,310 156,155 468,466 234,233 702,700 351,350 175,675 527,026 263,513 790,540 395,270 197,635 592,906 296,453 889,360 444,680 222,340 111,170 55,585 166,756 83,378 41,689 125,068 62,534 31,267 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22

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