7,001,007

3 × 13 × 89 × 2017

7,001,007 has digital root 6. The neighboring primes are 7001003 and 7001011; its proper-divisor sum differs from the starting integer by -3,831,294.

Prime Factor Structure

Factorization String 3 × 13 × 89 × 2017

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,170,720

Proper Divisor Sum 3,169,713

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #7001003 ← → #7001011

Radix Representation

Decimal	7001007
Binary	11010101101001110101111 (23 bits)
Octal	0o32551657
Hexadecimal	0x6AD3AF

Divisor Catalog (16)

1 3 13 39 89 267 1,157 2,017 3,471 6,051 26,221 78,663 179,513 538,539 2,333,669 7,001,007

Collatz Trajectory (129 steps to reach 1)

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

7,001,007 21,003,022 10,501,511 31,504,534 15,752,267 47,256,802 23,628,401 70,885,204 35,442,602 17,721,301 53,163,904 26,581,952 13,290,976 6,645,488 3,322,744 1,661,372 830,686 415,343 1,246,030 623,015 1,869,046 934,523 2,803,570 1,401,785 4,205,356 2,102,678 1,051,339 3,154,018 1,577,009 4,731,028 2,365,514 1,182,757 3,548,272 1,774,136 887,068 443,534 221,767 665,302 332,651 997,954 498,977 1,496,932 748,466 374,233 1,122,700 561,350 280,675 842,026 421,013 1,263,040 631,520 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405

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