λ
Sigma Notebook

7,672,947

3 × 2557649
Deficient Odd Composite

7,672,947 is odd and not a perfect square. Its factorization is 3 × 2557649 and its 4 divisors sum to 10,230,600.

Prime Factor Structure

Factorization String 3 × 2557649
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,230,600
Proper Divisor Sum 2,557,653
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7672943 ← → #7672981

Radix Representation

Decimal 7672947
Binary 11101010001010001110011 (23 bits)
Octal 0o35212163
Hexadecimal 0x751473

Divisor Catalog (4)

1 3 2,557,649 7,672,947

Collatz Trajectory (279 steps to reach 1)

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

7,672,947 23,018,842 11,509,421 34,528,264 17,264,132 8,632,066 4,316,033 12,948,100 6,474,050 3,237,025 9,711,076 4,855,538 2,427,769 7,283,308 3,641,654 1,820,827 5,462,482 2,731,241 8,193,724 4,096,862 2,048,431 6,145,294 3,072,647 9,217,942 4,608,971 13,826,914 6,913,457 20,740,372 10,370,186 5,185,093 15,555,280 7,777,640 3,888,820 1,944,410 972,205 2,916,616 1,458,308 729,154 364,577 1,093,732 546,866 273,433 820,300 410,150 205,075 615,226 307,613 922,840 461,420 230,710 115,355 346,066 173,033 519,100 259,550 129,775 389,326 194,663 583,990 291,995

More profiles

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