6,973,762

2 × 67 × 71 × 733

6,973,762 has digital root 4. The neighboring primes are 6973739 and 6973787; its proper-divisor sum differs from the starting integer by -3,166,532.

Prime Factor Structure

Factorization String 2 × 67 × 71 × 733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,780,992

Proper Divisor Sum 3,807,230

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6973739 ← → #6973787

Radix Representation

Decimal	6973762
Binary	11010100110100101000010 (23 bits)
Octal	0o32464502
Hexadecimal	0x6A6942

Divisor Catalog (16)

1 2 67 71 134 142 733 1,466 4,757 9,514 49,111 52,043 98,222 104,086 3,486,881 6,973,762

Collatz Trajectory (160 steps to reach 1)

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

6,973,762 3,486,881 10,460,644 5,230,322 2,615,161 7,845,484 3,922,742 1,961,371 5,884,114 2,942,057 8,826,172 4,413,086 2,206,543 6,619,630 3,309,815 9,929,446 4,964,723 14,894,170 7,447,085 22,341,256 11,170,628 5,585,314 2,792,657 8,377,972 4,188,986 2,094,493 6,283,480 3,141,740 1,570,870 785,435 2,356,306 1,178,153 3,534,460 1,767,230 883,615 2,650,846 1,325,423 3,976,270 1,988,135 5,964,406 2,982,203 8,946,610 4,473,305 13,419,916 6,709,958 3,354,979 10,064,938 5,032,469 15,097,408 7,548,704 3,774,352 1,887,176 943,588 471,794 235,897 707,692 353,846 176,923 530,770 265,385

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