λ
Prime Ledger

9,073,407

3 × 7 × 432067
Deficient Odd Composite

9,073,407 has the prime decomposition 3 × 7 × 432067. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 432067
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,826,176
Proper Divisor Sum 4,752,769
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9073381 ← → #9073429

Radix Representation

Decimal 9073407
Binary 100010100111001011111111 (24 bits)
Octal 0o42471377
Hexadecimal 0x8A72FF

Divisor Catalog (8)

1 3 7 21 432,067 1,296,201 3,024,469 9,073,407

Collatz Trajectory (318 steps to reach 1)

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

9,073,407 27,220,222 13,610,111 40,830,334 20,415,167 61,245,502 30,622,751 91,868,254 45,934,127 137,802,382 68,901,191 206,703,574 103,351,787 310,055,362 155,027,681 465,083,044 232,541,522 116,270,761 348,812,284 174,406,142 87,203,071 261,609,214 130,804,607 392,413,822 196,206,911 588,620,734 294,310,367 882,931,102 441,465,551 1,324,396,654 662,198,327 1,986,594,982 993,297,491 2,979,892,474 1,489,946,237 4,469,838,712 2,234,919,356 1,117,459,678 558,729,839 1,676,189,518 838,094,759 2,514,284,278 1,257,142,139 3,771,426,418 1,885,713,209 5,657,139,628 2,828,569,814 1,414,284,907 4,242,854,722 2,121,427,361 6,364,282,084 3,182,141,042 1,591,070,521 4,773,211,564 2,386,605,782 1,193,302,891 3,579,908,674 1,789,954,337 5,369,863,012 2,684,931,506

More profiles

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