λ
Integer Codex

1,005,747

3 × 335249
Deficient Odd Composite

For 1,005,747, the 4 positive divisors have a total of 1,341,000. Removing 1,005,747 leaves 335,253, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 335249
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,341,000
Proper Divisor Sum 335,253
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1005709 ← → #1005751

Radix Representation

Decimal 1005747
Binary 11110101100010110011 (20 bits)
Octal 0o3654263
Hexadecimal 0xF58B3

Divisor Catalog (4)

1 3 335,249 1,005,747

Collatz Trajectory (139 steps to reach 1)

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

1,005,747 3,017,242 1,508,621 4,525,864 2,262,932 1,131,466 565,733 1,697,200 848,600 424,300 212,150 106,075 318,226 159,113 477,340 238,670 119,335 358,006 179,003 537,010 268,505 805,516 402,758 201,379 604,138 302,069 906,208 453,104 226,552 113,276 56,638 28,319 84,958 42,479 127,438 63,719 191,158 95,579 286,738 143,369 430,108 215,054 107,527 322,582 161,291 483,874 241,937 725,812 362,906 181,453 544,360 272,180 136,090 68,045 204,136 102,068 51,034 25,517 76,552 38,276

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