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Atlas › Integer Profiles › Node 2,007,509

2,007,509

7 × 23 × 37 × 337
Deficient Odd Composite

2,007,509 factors as 7 × 23 × 37 × 337. Its 16 positive divisors give a proper-divisor sum of 458,539, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 7 × 23 × 37 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,466,048
Proper Divisor Sum 458,539
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2007503 ← → #2007517

Radix Representation

Decimal 2007509
Binary 111101010000111010101 (21 bits)
Octal 0o7520725
Hexadecimal 0x1EA1D5

Divisor Catalog (16)

1 7 23 37 161 259 337 851 2,359 5,957 7,751 12,469 54,257 87,283 286,787 2,007,509

Collatz Trajectory (60 steps to reach 1)

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

2,007,509 6,022,528 3,011,264 1,505,632 752,816 376,408 188,204 94,102 47,051 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850 9,925 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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