8,403,408

2⁴ × 3² × 13 × 67²

8,403,408 has the prime decomposition 2^4 × 3^2 × 13 × 67^2. Its 4 distinct prime factors produce 90 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 67^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 25,710,594

Proper Divisor Sum 17,307,186

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8403391 ← → #8403419

Radix Representation

Decimal	8403408
Binary	100000000011100111010000 (24 bits)
Octal	0o40034720
Hexadecimal	0x8039D0

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 234 268 312 402 468 536 603 624 804 871 936 1,072 1,206 1,608 1,742 1,872 2,412 2,613 3,216 3,484 4,489 4,824 5,226 6,968 7,839 8,978 9,648 10,452 13,467 13,936 15,678 17,956 20,904

Collatz Trajectory (75 steps to reach 1)

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

8,403,408 4,201,704 2,100,852 1,050,426 525,213 1,575,640 787,820 393,910 196,955 590,866 295,433 886,300 443,150 221,575 664,726 332,363 997,090 498,545 1,495,636 747,818 373,909 1,121,728 560,864 280,432 140,216 70,108 35,054 17,527 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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