λ
Prime Ledger

7,236,295

5 × 11 × 41 × 3209
Deficient Odd Composite

7,236,295 has the prime decomposition 5 × 11 × 41 × 3209. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 41 × 3209
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,707,040
Proper Divisor Sum 2,470,745
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7236293 ← → #7236301

Radix Representation

Decimal 7236295
Binary 11011100110101011000111 (23 bits)
Octal 0o33465307
Hexadecimal 0x6E6AC7

Divisor Catalog (16)

1 5 11 41 55 205 451 2,255 3,209 16,045 35,299 131,569 176,495 657,845 1,447,259 7,236,295

Collatz Trajectory (129 steps to reach 1)

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

7,236,295 21,708,886 10,854,443 32,563,330 16,281,665 48,844,996 24,422,498 12,211,249 36,633,748 18,316,874 9,158,437 27,475,312 13,737,656 6,868,828 3,434,414 1,717,207 5,151,622 2,575,811 7,727,434 3,863,717 11,591,152 5,795,576 2,897,788 1,448,894 724,447 2,173,342 1,086,671 3,260,014 1,630,007 4,890,022 2,445,011 7,335,034 3,667,517 11,002,552 5,501,276 2,750,638 1,375,319 4,125,958 2,062,979 6,188,938 3,094,469 9,283,408 4,641,704 2,320,852 1,160,426 580,213 1,740,640 870,320 435,160 217,580 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380

More profiles

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