3,067,504

2⁴ × 11 × 29 × 601

3,067,504 has the prime decomposition 2^4 × 11 × 29 × 601. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 29 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,718,320

Proper Divisor Sum 3,650,816

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3067501 ← → #3067511

Radix Representation

Decimal	3067504
Binary	1011101100111001110000 (22 bits)
Octal	0o13547160
Hexadecimal	0x2ECE70

Divisor Catalog (40)

1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 601 638 1,202 1,276 2,404 2,552 4,808 5,104 6,611 9,616 13,222 17,429 26,444 34,858 52,888 69,716 105,776 139,432 191,719 278,864 383,438 766,876 1,533,752 3,067,504

Collatz Trajectory (107 steps to reach 1)

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

3,067,504 1,533,752 766,876 383,438 191,719 575,158 287,579 862,738 431,369 1,294,108 647,054 323,527 970,582 485,291 1,455,874 727,937 2,183,812 1,091,906 545,953 1,637,860 818,930 409,465 1,228,396 614,198 307,099 921,298 460,649 1,381,948 690,974 345,487 1,036,462 518,231 1,554,694 777,347 2,332,042 1,166,021 3,498,064 1,749,032 874,516 437,258 218,629 655,888 327,944 163,972 81,986 40,993 122,980 61,490 30,745 92,236 46,118 23,059 69,178 34,589 103,768 51,884 25,942 12,971 38,914 19,457

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