λ
Harmonic Matrix

3,679,279

3679279
Deficient Odd Prime

3,679,279 has digital root 7. The neighboring primes are 3679271 and 3679289; its proper-divisor sum differs from the starting integer by -3,679,278.

Prime Factor Structure

Factorization String 3679279
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,679,280
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3679271 ← → #3679289

Radix Representation

Decimal 3679279
Binary 1110000010010000101111 (22 bits)
Octal 0o16022057
Hexadecimal 0x38242F

Divisor Catalog (2)

Collatz Trajectory (278 steps to reach 1)

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

3,679,279 11,037,838 5,518,919 16,556,758 8,278,379 24,835,138 12,417,569 37,252,708 18,626,354 9,313,177 27,939,532 13,969,766 6,984,883 20,954,650 10,477,325 31,431,976 15,715,988 7,857,994 3,928,997 11,786,992 5,893,496 2,946,748 1,473,374 736,687 2,210,062 1,105,031 3,315,094 1,657,547 4,972,642 2,486,321 7,458,964 3,729,482 1,864,741 5,594,224 2,797,112 1,398,556 699,278 349,639 1,048,918 524,459 1,573,378 786,689 2,360,068 1,180,034 590,017 1,770,052 885,026 442,513 1,327,540 663,770 331,885 995,656 497,828 248,914 124,457 373,372 186,686 93,343 280,030 140,015

More profiles

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