7,842,292

2² × 1960573

7,842,292 factors as 2^2 × 1960573. Its 6 positive divisors give a proper-divisor sum of 5,881,726, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 1960573

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,724,018

Proper Divisor Sum 5,881,726

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7842281 ← → #7842293

Radix Representation

Decimal	7842292
Binary	11101111010100111110100 (23 bits)
Octal	0o35724764
Hexadecimal	0x77A9F4

Divisor Catalog (6)

1 2 4 1,960,573 3,921,146 7,842,292

Collatz Trajectory (173 steps to reach 1)

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

7,842,292 3,921,146 1,960,573 5,881,720 2,940,860 1,470,430 735,215 2,205,646 1,102,823 3,308,470 1,654,235 4,962,706 2,481,353 7,444,060 3,722,030 1,861,015 5,583,046 2,791,523 8,374,570 4,187,285 12,561,856 6,280,928 3,140,464 1,570,232 785,116 392,558 196,279 588,838 294,419 883,258 441,629 1,324,888 662,444 331,222 165,611 496,834 248,417 745,252 372,626 186,313 558,940 279,470 139,735 419,206 209,603 628,810 314,405 943,216 471,608 235,804 117,902 58,951 176,854 88,427 265,282 132,641 397,924 198,962 99,481 298,444

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