λ
Harmonic Matrix

1,553,540

22 × 5 × 173 × 449
Abundant Even Composite

1,553,540 has digital root 5. The neighboring primes are 1553537 and 1553543; its proper-divisor sum differs from the starting integer by 181,520.

Prime Factor Structure

Factorization String 2^2 × 5 × 173 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,288,600
Proper Divisor Sum 1,735,060
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1553537 ← → #1553543

Radix Representation

Decimal 1553540
Binary 101111011010010000100 (21 bits)
Octal 0o5732204
Hexadecimal 0x17B484

Divisor Catalog (24)

1 2 4 5 10 20 173 346 449 692 865 898 1,730 1,796 2,245 3,460 4,490 8,980 77,677 155,354 310,708 388,385 776,770 1,553,540

Collatz Trajectory (194 steps to reach 1)

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

1,553,540 776,770 388,385 1,165,156 582,578 291,289 873,868 436,934 218,467 655,402 327,701 983,104 491,552 245,776 122,888 61,444 30,722 15,361 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646

More profiles

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