7,279,342

2 × 7² × 74279

7,279,342 factors as 2 × 7^2 × 74279. Its 12 positive divisors give a proper-divisor sum of 5,422,538, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 74279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,701,880

Proper Divisor Sum 5,422,538

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7279333 ← → #7279351

Radix Representation

Decimal	7279342
Binary	11011110001001011101110 (23 bits)
Octal	0o33611356
Hexadecimal	0x6F12EE

Divisor Catalog (12)

1 2 7 14 49 98 74,279 148,558 519,953 1,039,906 3,639,671 7,279,342

Collatz Trajectory (235 steps to reach 1)

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

7,279,342 3,639,671 10,919,014 5,459,507 16,378,522 8,189,261 24,567,784 12,283,892 6,141,946 3,070,973 9,212,920 4,606,460 2,303,230 1,151,615 3,454,846 1,727,423 5,182,270 2,591,135 7,773,406 3,886,703 11,660,110 5,830,055 17,490,166 8,745,083 26,235,250 13,117,625 39,352,876 19,676,438 9,838,219 29,514,658 14,757,329 44,271,988 22,135,994 11,067,997 33,203,992 16,601,996 8,300,998 4,150,499 12,451,498 6,225,749 18,677,248 9,338,624 4,669,312 2,334,656 1,167,328 583,664 291,832 145,916 72,958 36,479 109,438 54,719 164,158 82,079 246,238 123,119 369,358 184,679 554,038 277,019

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