1,007,005

5 × 201401

1,007,005 has digital root 4. The neighboring primes are 1006991 and 1007021; its proper-divisor sum differs from the starting integer by -805,598.

Prime Factor Structure

Factorization String 5 × 201401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,208,412

Proper Divisor Sum 201,407

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1006991 ← → #1007021

Radix Representation

Decimal	1007005
Binary	11110101110110011101 (20 bits)
Octal	0o3656635
Hexadecimal	0xF5D9D

Divisor Catalog (4)

1 5 201,401 1,007,005

Collatz Trajectory (152 steps to reach 1)

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

1,007,005 3,021,016 1,510,508 755,254 377,627 1,132,882 566,441 1,699,324 849,662 424,831 1,274,494 637,247 1,911,742 955,871 2,867,614 1,433,807 4,301,422 2,150,711 6,452,134 3,226,067 9,678,202 4,839,101 14,517,304 7,258,652 3,629,326 1,814,663 5,443,990 2,721,995 8,165,986 4,082,993 12,248,980 6,124,490 3,062,245 9,186,736 4,593,368 2,296,684 1,148,342 574,171 1,722,514 861,257 2,583,772 1,291,886 645,943 1,937,830 968,915 2,906,746 1,453,373 4,360,120 2,180,060 1,090,030 545,015 1,635,046 817,523 2,452,570 1,226,285 3,678,856 1,839,428 919,714 459,857 1,379,572

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