4,617,641

7 × 23² × 29 × 43

Prime Factor Structure

Factorization String 7 × 23^2 × 29 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,839,680

Proper Divisor Sum 1,222,039

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4617617 ← → #4617643

Radix Representation

Decimal	4617641
Binary	10001100111010110101001 (23 bits)
Octal	0o21472651
Hexadecimal	0x4675A9

Divisor Catalog (24)

Collatz Trajectory (105 steps to reach 1)

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

4,617,641 13,852,924 6,926,462 3,463,231 10,389,694 5,194,847 15,584,542 7,792,271 23,376,814 11,688,407 35,065,222 17,532,611 52,597,834 26,298,917 78,896,752 39,448,376 19,724,188 9,862,094 4,931,047 14,793,142 7,396,571 22,189,714 11,094,857 33,284,572 16,642,286 8,321,143 24,963,430 12,481,715 37,445,146 18,722,573 56,167,720 28,083,860 14,041,930 7,020,965 21,062,896 10,531,448 5,265,724 2,632,862 1,316,431 3,949,294 1,974,647 5,923,942 2,961,971 8,885,914 4,442,957 13,328,872 6,664,436 3,332,218 1,666,109 4,998,328 2,499,164 1,249,582 624,791 1,874,374 937,187 2,811,562 1,405,781 4,217,344 2,108,672 1,054,336

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