2,978,406

2 × 3² × 337 × 491

2,978,406 has digital root 9. The neighboring primes are 2978401 and 2978407; its proper-divisor sum differs from the starting integer by 528,732.

Prime Factor Structure

Factorization String 2 × 3^2 × 337 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,485,544

Proper Divisor Sum 3,507,138

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2978401 ← → #2978407

Radix Representation

Decimal	2978406
Binary	1011010111001001100110 (22 bits)
Octal	0o13271146
Hexadecimal	0x2D7266

Divisor Catalog (24)

1 2 3 6 9 18 337 491 674 982 1,011 1,473 2,022 2,946 3,033 4,419 6,066 8,838 165,467 330,934 496,401 992,802 1,489,203 2,978,406

Collatz Trajectory (120 steps to reach 1)

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

2,978,406 1,489,203 4,467,610 2,233,805 6,701,416 3,350,708 1,675,354 837,677 2,513,032 1,256,516 628,258 314,129 942,388 471,194 235,597 706,792 353,396 176,698 88,349 265,048 132,524 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899

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