3,445,377

3 × 13 × 23² × 167

3,445,377 has digital root 6. The neighboring primes are 3445369 and 3445391; its proper-divisor sum differs from the starting integer by -1,688,130.

Prime Factor Structure

Factorization String 3 × 13 × 23^2 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,202,624

Proper Divisor Sum 1,757,247

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3445369 ← → #3445391

Radix Representation

Decimal	3445377
Binary	1101001001001010000001 (22 bits)
Octal	0o15111201
Hexadecimal	0x349281

Divisor Catalog (24)

1 3 13 23 39 69 167 299 501 529 897 1,587 2,171 3,841 6,513 6,877 11,523 20,631 49,933 88,343 149,799 265,029 1,148,459 3,445,377

Collatz Trajectory (159 steps to reach 1)

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

3,445,377 10,336,132 5,168,066 2,584,033 7,752,100 3,876,050 1,938,025 5,814,076 2,907,038 1,453,519 4,360,558 2,180,279 6,540,838 3,270,419 9,811,258 4,905,629 14,716,888 7,358,444 3,679,222 1,839,611 5,518,834 2,759,417 8,278,252 4,139,126 2,069,563 6,208,690 3,104,345 9,313,036 4,656,518 2,328,259 6,984,778 3,492,389 10,477,168 5,238,584 2,619,292 1,309,646 654,823 1,964,470 982,235 2,946,706 1,473,353 4,420,060 2,210,030 1,105,015 3,315,046 1,657,523 4,972,570 2,486,285 7,458,856 3,729,428 1,864,714 932,357 2,797,072 1,398,536 699,268 349,634 174,817 524,452 262,226 131,113

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