λ
Harmonic Matrix

5,470,476

22 × 3 × 11 × 41443
Abundant Even Composite

5,470,476 has digital root 6. The neighboring primes are 5470457 and 5470489; its proper-divisor sum differs from the starting integer by 2,984,232.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 41443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,925,184
Proper Divisor Sum 8,454,708
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5470457 ← → #5470489

Radix Representation

Decimal 5470476
Binary 10100110111100100001100 (23 bits)
Octal 0o24674414
Hexadecimal 0x53790C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 41,443 82,886 124,329 165,772 248,658 455,873 497,316 911,746 1,367,619 1,823,492 2,735,238 5,470,476

Collatz Trajectory (108 steps to reach 1)

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

5,470,476 2,735,238 1,367,619 4,102,858 2,051,429 6,154,288 3,077,144 1,538,572 769,286 384,643 1,153,930 576,965 1,730,896 865,448 432,724 216,362 108,181 324,544 162,272 81,136 40,568 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720

More profiles

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