λ
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Atlas › Integer Profiles › Node 7,334,290

7,334,290

2 × 5 × 31 × 59 × 401
Deficient Even Composite

7,334,290 factors as 2 × 5 × 31 × 59 × 401. Its 32 positive divisors give a proper-divisor sum of 6,558,830, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 59 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,893,120
Proper Divisor Sum 6,558,830
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7334287 ← → #7334291

Radix Representation

Decimal 7334290
Binary 11011111110100110010010 (23 bits)
Octal 0o33764622
Hexadecimal 0x6FE992

Divisor Catalog (32)

1 2 5 10 31 59 62 118 155 295 310 401 590 802 1,829 2,005 3,658 4,010 9,145 12,431 18,290 23,659 24,862 47,318 62,155 118,295 124,310 236,590 733,429 1,466,858 3,667,145 7,334,290

Collatz Trajectory (98 steps to reach 1)

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

7,334,290 3,667,145 11,001,436 5,500,718 2,750,359 8,251,078 4,125,539 12,376,618 6,188,309 18,564,928 9,282,464 4,641,232 2,320,616 1,160,308 580,154 290,077 870,232 435,116 217,558 108,779 326,338 163,169 489,508 244,754 122,377 367,132 183,566 91,783 275,350 137,675 413,026 206,513 619,540 309,770 154,885 464,656 232,328 116,164 58,082 29,041 87,124 43,562 21,781 65,344 32,672 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295

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