λ
Integer Codex

6,572,807

727 × 9041
Deficient Odd Composite

For 6,572,807, the 4 positive divisors have a total of 6,582,576. Removing 6,572,807 leaves 9,769, which gives the deficient classification.

Prime Factor Structure

Factorization String 727 × 9041
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,582,576
Proper Divisor Sum 9,769
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6572801 ← → #6572831

Radix Representation

Decimal 6572807
Binary 11001000100101100000111 (23 bits)
Octal 0o31045407
Hexadecimal 0x644B07

Divisor Catalog (4)

1 727 9,041 6,572,807

Collatz Trajectory (147 steps to reach 1)

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

6,572,807 19,718,422 9,859,211 29,577,634 14,788,817 44,366,452 22,183,226 11,091,613 33,274,840 16,637,420 8,318,710 4,159,355 12,478,066 6,239,033 18,717,100 9,358,550 4,679,275 14,037,826 7,018,913 21,056,740 10,528,370 5,264,185 15,792,556 7,896,278 3,948,139 11,844,418 5,922,209 17,766,628 8,883,314 4,441,657 13,324,972 6,662,486 3,331,243 9,993,730 4,996,865 14,990,596 7,495,298 3,747,649 11,242,948 5,621,474 2,810,737 8,432,212 4,216,106 2,108,053 6,324,160 3,162,080 1,581,040 790,520 395,260 197,630 98,815 296,446 148,223 444,670 222,335 667,006 333,503 1,000,510 500,255 1,500,766

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