4,206,007

13 × 251 × 1289

For 4,206,007, the 8 positive divisors have a total of 4,551,120. Removing 4,206,007 leaves 345,113, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 251 × 1289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,551,120

Proper Divisor Sum 345,113

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4205989 ← → #4206019

Radix Representation

Decimal	4206007
Binary	10000000010110110110111 (23 bits)
Octal	0o20026667
Hexadecimal	0x402DB7

Divisor Catalog (8)

1 13 251 1,289 3,263 16,757 323,539 4,206,007

Collatz Trajectory (167 steps to reach 1)

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

4,206,007 12,618,022 6,309,011 18,927,034 9,463,517 28,390,552 14,195,276 7,097,638 3,548,819 10,646,458 5,323,229 15,969,688 7,984,844 3,992,422 1,996,211 5,988,634 2,994,317 8,982,952 4,491,476 2,245,738 1,122,869 3,368,608 1,684,304 842,152 421,076 210,538 105,269 315,808 157,904 78,952 39,476 19,738 9,869 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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