λ
Sigma Notebook

7,910,535

3 × 5 × 197 × 2677
Deficient Odd Composite

7,910,535 is odd and not a perfect square. Its factorization is 3 × 5 × 197 × 2677 and its 16 divisors sum to 12,725,856.

Prime Factor Structure

Factorization String 3 × 5 × 197 × 2677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,725,856
Proper Divisor Sum 4,815,321
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7910521 ← → #7910537

Radix Representation

Decimal 7910535
Binary 11110001011010010000111 (23 bits)
Octal 0o36132207
Hexadecimal 0x78B487

Divisor Catalog (16)

1 3 5 15 197 591 985 2,677 2,955 8,031 13,385 40,155 527,369 1,582,107 2,636,845 7,910,535

Collatz Trajectory (173 steps to reach 1)

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

7,910,535 23,731,606 11,865,803 35,597,410 17,798,705 53,396,116 26,698,058 13,349,029 40,047,088 20,023,544 10,011,772 5,005,886 2,502,943 7,508,830 3,754,415 11,263,246 5,631,623 16,894,870 8,447,435 25,342,306 12,671,153 38,013,460 19,006,730 9,503,365 28,510,096 14,255,048 7,127,524 3,563,762 1,781,881 5,345,644 2,672,822 1,336,411 4,009,234 2,004,617 6,013,852 3,006,926 1,503,463 4,510,390 2,255,195 6,765,586 3,382,793 10,148,380 5,074,190 2,537,095 7,611,286 3,805,643 11,416,930 5,708,465 17,125,396 8,562,698 4,281,349 12,844,048 6,422,024 3,211,012 1,605,506 802,753 2,408,260 1,204,130 602,065 1,806,196

More profiles

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