λ
Harmonic Matrix

6,053,484

22 × 3 × 504457
Abundant Even Composite

6,053,484 has digital root 3. The neighboring primes are 6053483 and 6053491; its proper-divisor sum differs from the starting integer by 2,017,856.

Prime Factor Structure

Factorization String 2^2 × 3 × 504457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,124,824
Proper Divisor Sum 8,071,340
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6053483 ← → #6053491

Radix Representation

Decimal 6053484
Binary 10111000101111001101100 (23 bits)
Octal 0o27057154
Hexadecimal 0x5C5E6C

Divisor Catalog (12)

1 2 3 4 6 12 504,457 1,008,914 1,513,371 2,017,828 3,026,742 6,053,484

Collatz Trajectory (90 steps to reach 1)

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

6,053,484 3,026,742 1,513,371 4,540,114 2,270,057 6,810,172 3,405,086 1,702,543 5,107,630 2,553,815 7,661,446 3,830,723 11,492,170 5,746,085 17,238,256 8,619,128 4,309,564 2,154,782 1,077,391 3,232,174 1,616,087 4,848,262 2,424,131 7,272,394 3,636,197 10,908,592 5,454,296 2,727,148 1,363,574 681,787 2,045,362 1,022,681 3,068,044 1,534,022 767,011 2,301,034 1,150,517 3,451,552 1,725,776 862,888 431,444 215,722 107,861 323,584 161,792 80,896 40,448 20,224 10,112 5,056 2,528 1,264 632 316 158 79 238 119 358 179

More profiles

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