1,045,011

3 × 11 × 31667

For 1,045,011, the 8 positive divisors have a total of 1,520,064. Removing 1,045,011 leaves 475,053, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 31667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,520,064

Proper Divisor Sum 475,053

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1045003 ← → #1045013

Radix Representation

Decimal	1045011
Binary	11111111001000010011 (20 bits)
Octal	0o3771023
Hexadecimal	0xFF213

Divisor Catalog (8)

1 3 11 33 31,667 95,001 348,337 1,045,011

Collatz Trajectory (165 steps to reach 1)

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

1,045,011 3,135,034 1,567,517 4,702,552 2,351,276 1,175,638 587,819 1,763,458 881,729 2,645,188 1,322,594 661,297 1,983,892 991,946 495,973 1,487,920 743,960 371,980 185,990 92,995 278,986 139,493 418,480 209,240 104,620 52,310 26,155 78,466 39,233 117,700 58,850 29,425 88,276 44,138 22,069 66,208 33,104 16,552 8,276 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188

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