7,276,088

2³ × 19 × 47869

7,276,088 factors as 2^3 × 19 × 47869. Its 16 positive divisors give a proper-divisor sum of 7,084,912, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 47869

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,361,000

Proper Divisor Sum 7,084,912

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7276081 ← → #7276097

Radix Representation

Decimal	7276088
Binary	11011110000011000111000 (23 bits)
Octal	0o33603070
Hexadecimal	0x6F0638

Divisor Catalog (16)

1 2 4 8 19 38 76 152 47,869 95,738 191,476 382,952 909,511 1,819,022 3,638,044 7,276,088

Collatz Trajectory (173 steps to reach 1)

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

7,276,088 3,638,044 1,819,022 909,511 2,728,534 1,364,267 4,092,802 2,046,401 6,139,204 3,069,602 1,534,801 4,604,404 2,302,202 1,151,101 3,453,304 1,726,652 863,326 431,663 1,294,990 647,495 1,942,486 971,243 2,913,730 1,456,865 4,370,596 2,185,298 1,092,649 3,277,948 1,638,974 819,487 2,458,462 1,229,231 3,687,694 1,843,847 5,531,542 2,765,771 8,297,314 4,148,657 12,445,972 6,222,986 3,111,493 9,334,480 4,667,240 2,333,620 1,166,810 583,405 1,750,216 875,108 437,554 218,777 656,332 328,166 164,083 492,250 246,125 738,376 369,188 184,594 92,297 276,892

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