6,974,006

2 × 13 × 347 × 773

6,974,006 has digital root 5. The neighboring primes are 6973999 and 6974017; its proper-divisor sum differs from the starting integer by -2,635,228.

Prime Factor Structure

Factorization String 2 × 13 × 347 × 773

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,312,784

Proper Divisor Sum 4,338,778

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6973999 ← → #6974017

Radix Representation

Decimal	6974006
Binary	11010100110101000110110 (23 bits)
Octal	0o32465066
Hexadecimal	0x6A6A36

Divisor Catalog (16)

1 2 13 26 347 694 773 1,546 4,511 9,022 10,049 20,098 268,231 536,462 3,487,003 6,974,006

Collatz Trajectory (160 steps to reach 1)

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

6,974,006 3,487,003 10,461,010 5,230,505 15,691,516 7,845,758 3,922,879 11,768,638 5,884,319 17,652,958 8,826,479 26,479,438 13,239,719 39,719,158 19,859,579 59,578,738 29,789,369 89,368,108 44,684,054 22,342,027 67,026,082 33,513,041 100,539,124 50,269,562 25,134,781 75,404,344 37,702,172 18,851,086 9,425,543 28,276,630 14,138,315 42,414,946 21,207,473 63,622,420 31,811,210 15,905,605 47,716,816 23,858,408 11,929,204 5,964,602 2,982,301 8,946,904 4,473,452 2,236,726 1,118,363 3,355,090 1,677,545 5,032,636 2,516,318 1,258,159 3,774,478 1,887,239 5,661,718 2,830,859 8,492,578 4,246,289 12,738,868 6,369,434 3,184,717 9,554,152

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