λ
Prime Ledger

4,084,728

23 × 3 × 170197
Abundant Even Composite

4,084,728 has the prime decomposition 2^3 × 3 × 170197. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 170197
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,211,880
Proper Divisor Sum 6,127,152
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4084721 ← → #4084739

Radix Representation

Decimal 4084728
Binary 1111100101001111111000 (22 bits)
Octal 0o17451770
Hexadecimal 0x3E53F8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 170,197 340,394 510,591 680,788 1,021,182 1,361,576 2,042,364 4,084,728

Collatz Trajectory (229 steps to reach 1)

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

4,084,728 2,042,364 1,021,182 510,591 1,531,774 765,887 2,297,662 1,148,831 3,446,494 1,723,247 5,169,742 2,584,871 7,754,614 3,877,307 11,631,922 5,815,961 17,447,884 8,723,942 4,361,971 13,085,914 6,542,957 19,628,872 9,814,436 4,907,218 2,453,609 7,360,828 3,680,414 1,840,207 5,520,622 2,760,311 8,280,934 4,140,467 12,421,402 6,210,701 18,632,104 9,316,052 4,658,026 2,329,013 6,987,040 3,493,520 1,746,760 873,380 436,690 218,345 655,036 327,518 163,759 491,278 245,639 736,918 368,459 1,105,378 552,689 1,658,068 829,034 414,517 1,243,552 621,776 310,888 155,444

More profiles

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