7,090,083

3² × 7 × 11 × 13 × 787

7,090,083 has digital root 9. The neighboring primes are 7090079 and 7090087; its proper-divisor sum differs from the starting integer by -412,230.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 787

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,767,936

Proper Divisor Sum 6,677,853

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7090079 ← → #7090087

Radix Representation

Decimal	7090083
Binary	11011000010111110100011 (23 bits)
Octal	0o33027643
Hexadecimal	0x6C2FA3

Divisor Catalog (48)

1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 787 819 1,001 1,287 2,361 3,003 5,509 7,083 8,657 9,009 10,231 16,527 25,971 30,693 49,581 60,599 71,617 77,913 92,079 112,541 181,797 214,851 337,623 545,391 644,553 787,787 1,012,869 2,363,361 7,090,083

Collatz Trajectory (67 steps to reach 1)

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

7,090,083 21,270,250 10,635,125 31,905,376 15,952,688 7,976,344 3,988,172 1,994,086 997,043 2,991,130 1,495,565 4,486,696 2,243,348 1,121,674 560,837 1,682,512 841,256 420,628 210,314 105,157 315,472 157,736 78,868 39,434 19,717 59,152 29,576 14,788 7,394 3,697 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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