λ
Modular Archive

7,667,409

3 × 73 × 157 × 223
Deficient Odd Composite

The decimal integer 7,667,409 is 11101001111111011010001 in binary (23 bits), 35177321 in octal and 74FED1 in hexadecimal. Its digit sum is 39.

Prime Factor Structure

Factorization String 3 × 73 × 157 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,476,032
Proper Divisor Sum 2,808,623
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7667383 ← → #7667417

Radix Representation

Decimal 7667409
Binary 11101001111111011010001 (23 bits)
Octal 0o35177321
Hexadecimal 0x74FED1

Divisor Catalog (16)

1 3 73 157 219 223 471 669 11,461 16,279 34,383 35,011 48,837 105,033 2,555,803 7,667,409

Collatz Trajectory (310 steps to reach 1)

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

7,667,409 23,002,228 11,501,114 5,750,557 17,251,672 8,625,836 4,312,918 2,156,459 6,469,378 3,234,689 9,704,068 4,852,034 2,426,017 7,278,052 3,639,026 1,819,513 5,458,540 2,729,270 1,364,635 4,093,906 2,046,953 6,140,860 3,070,430 1,535,215 4,605,646 2,302,823 6,908,470 3,454,235 10,362,706 5,181,353 15,544,060 7,772,030 3,886,015 11,658,046 5,829,023 17,487,070 8,743,535 26,230,606 13,115,303 39,345,910 19,672,955 59,018,866 29,509,433 88,528,300 44,264,150 22,132,075 66,396,226 33,198,113 99,594,340 49,797,170 24,898,585 74,695,756 37,347,878 18,673,939 56,021,818 28,010,909 84,032,728 42,016,364 21,008,182 10,504,091

More profiles

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