λ
Sigma Notebook

7,540,754

2 × 13 × 29 × 73 × 137
Deficient Even Composite

7,540,754 is even and not a perfect square. Its factorization is 2 × 13 × 29 × 73 × 137 and its 32 divisors sum to 12,867,120.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 73 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,867,120
Proper Divisor Sum 5,326,366
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7540751 ← → #7540763

Radix Representation

Decimal 7540754
Binary 11100110001000000010010 (23 bits)
Octal 0o34610022
Hexadecimal 0x731012

Divisor Catalog (32)

1 2 13 26 29 58 73 137 146 274 377 754 949 1,781 1,898 2,117 3,562 3,973 4,234 7,946 10,001 20,002 27,521 51,649 55,042 103,298 130,013 260,026 290,029 580,058 3,770,377 7,540,754

Collatz Trajectory (111 steps to reach 1)

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

7,540,754 3,770,377 11,311,132 5,655,566 2,827,783 8,483,350 4,241,675 12,725,026 6,362,513 19,087,540 9,543,770 4,771,885 14,315,656 7,157,828 3,578,914 1,789,457 5,368,372 2,684,186 1,342,093 4,026,280 2,013,140 1,006,570 503,285 1,509,856 754,928 377,464 188,732 94,366 47,183 141,550 70,775 212,326 106,163 318,490 159,245 477,736 238,868 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842

More profiles

← Previous Integer #7,540,753 Browse Full Index Next Integer #7,540,755 →