7,478,515

5 × 11 × 227 × 599

Starting at 7,478,515, the Collatz iteration reaches 1 after 111 steps. The first transition is 22435546; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 227 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,849,600

Proper Divisor Sum 2,371,085

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7478507 ← → #7478543

Radix Representation

Decimal	7478515
Binary	11100100001110011110011 (23 bits)
Octal	0o34416363
Hexadecimal	0x721CF3

Divisor Catalog (16)

1 5 11 55 227 599 1,135 2,497 2,995 6,589 12,485 32,945 135,973 679,865 1,495,703 7,478,515

Collatz Trajectory (111 steps to reach 1)

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

7,478,515 22,435,546 11,217,773 33,653,320 16,826,660 8,413,330 4,206,665 12,619,996 6,309,998 3,154,999 9,464,998 4,732,499 14,197,498 7,098,749 21,296,248 10,648,124 5,324,062 2,662,031 7,986,094 3,993,047 11,979,142 5,989,571 17,968,714 8,984,357 26,953,072 13,476,536 6,738,268 3,369,134 1,684,567 5,053,702 2,526,851 7,580,554 3,790,277 11,370,832 5,685,416 2,842,708 1,421,354 710,677 2,132,032 1,066,016 533,008 266,504 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906

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