λ
Sigma Notebook

7,555,507

101 × 239 × 313
Deficient Odd Composite

7,555,507 is odd and not a perfect square. Its factorization is 101 × 239 × 313 and its 8 divisors sum to 7,686,720.

Prime Factor Structure

Factorization String 101 × 239 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,686,720
Proper Divisor Sum 131,213
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7555469 ← → #7555517

Radix Representation

Decimal 7555507
Binary 11100110100100110110011 (23 bits)
Octal 0o34644663
Hexadecimal 0x7349B3

Divisor Catalog (8)

1 101 239 313 24,139 31,613 74,807 7,555,507

Collatz Trajectory (155 steps to reach 1)

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

7,555,507 22,666,522 11,333,261 33,999,784 16,999,892 8,499,946 4,249,973 12,749,920 6,374,960 3,187,480 1,593,740 796,870 398,435 1,195,306 597,653 1,792,960 896,480 448,240 224,120 112,060 56,030 28,015 84,046 42,023 126,070 63,035 189,106 94,553 283,660 141,830 70,915 212,746 106,373 319,120 159,560 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927

More profiles

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