4,361,409

3² × 13 × 37277

4,361,409 is odd and not a perfect square. Its factorization is 3^2 × 13 × 37277 and its 12 divisors sum to 6,784,596.

Prime Factor Structure

Factorization String 3^2 × 13 × 37277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,784,596

Proper Divisor Sum 2,423,187

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4361381 ← → #4361419

Radix Representation

Decimal	4361409
Binary	10000101000110011000001 (23 bits)
Octal	0o20506301
Hexadecimal	0x428CC1

Divisor Catalog (12)

1 3 9 13 39 117 37,277 111,831 335,493 484,601 1,453,803 4,361,409

Collatz Trajectory (167 steps to reach 1)

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

4,361,409 13,084,228 6,542,114 3,271,057 9,813,172 4,906,586 2,453,293 7,359,880 3,679,940 1,839,970 919,985 2,759,956 1,379,978 689,989 2,069,968 1,034,984 517,492 258,746 129,373 388,120 194,060 97,030 48,515 145,546 72,773 218,320 109,160 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682

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