λ
Harmonic Matrix

1,470,654

2 × 32 × 81703
Abundant Even Composite

1,470,654 has digital root 9. The neighboring primes are 1470641 and 1470659; its proper-divisor sum differs from the starting integer by 245,148.

Prime Factor Structure

Factorization String 2 × 3^2 × 81703
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,186,456
Proper Divisor Sum 1,715,802
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1470641 ← → #1470659

Radix Representation

Decimal 1470654
Binary 101100111000010111110 (21 bits)
Octal 0o5470276
Hexadecimal 0x1670BE

Divisor Catalog (12)

1 2 3 6 9 18 81,703 163,406 245,109 490,218 735,327 1,470,654

Collatz Trajectory (88 steps to reach 1)

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

1,470,654 735,327 2,205,982 1,102,991 3,308,974 1,654,487 4,963,462 2,481,731 7,445,194 3,722,597 11,167,792 5,583,896 2,791,948 1,395,974 697,987 2,093,962 1,046,981 3,140,944 1,570,472 785,236 392,618 196,309 588,928 294,464 147,232 73,616 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260

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