6,997,428

2² × 3⁵ × 23 × 313

6,997,428 has digital root 9. The neighboring primes are 6997411 and 6997457; its proper-divisor sum differs from the starting integer by 5,206,872.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 23 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,201,728

Proper Divisor Sum 12,204,300

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6997411 ← → #6997457

Radix Representation

Decimal	6997428
Binary	11010101100010110110100 (23 bits)
Octal	0o32542664
Hexadecimal	0x6AC5B4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 313 324 414 486 621 626 828 939 972 1,242 1,252 1,863 1,878 2,484 2,817 3,726 3,756 5,589 5,634 7,199 7,452 8,451 11,178 11,268 14,398 16,902 21,597 22,356 25,353 28,796 33,804 43,194 50,706 64,791 76,059 86,388 101,412 129,582

Collatz Trajectory (178 steps to reach 1)

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

6,997,428 3,498,714 1,749,357 5,248,072 2,624,036 1,312,018 656,009 1,968,028 984,014 492,007 1,476,022 738,011 2,214,034 1,107,017 3,321,052 1,660,526 830,263 2,490,790 1,245,395 3,736,186 1,868,093 5,604,280 2,802,140 1,401,070 700,535 2,101,606 1,050,803 3,152,410 1,576,205 4,728,616 2,364,308 1,182,154 591,077 1,773,232 886,616 443,308 221,654 110,827 332,482 166,241 498,724 249,362 124,681 374,044 187,022 93,511 280,534 140,267 420,802 210,401 631,204 315,602 157,801 473,404 236,702 118,351 355,054 177,527 532,582 266,291

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