λ
Harmonic Matrix

3,074,318

2 × 13 × 23 × 53 × 97
Deficient Even Composite

3,074,318 has digital root 8. The neighboring primes are 3074299 and 3074329; its proper-divisor sum differs from the starting integer by -814,300.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 53 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,334,336
Proper Divisor Sum 2,260,018
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3074299 ← → #3074329

Radix Representation

Decimal 3074318
Binary 1011101110100100001110 (22 bits)
Octal 0o13564416
Hexadecimal 0x2EE90E

Divisor Catalog (32)

1 2 13 23 26 46 53 97 106 194 299 598 689 1,219 1,261 1,378 2,231 2,438 2,522 4,462 5,141 10,282 15,847 29,003 31,694 58,006 66,833 118,243 133,666 236,486 1,537,159 3,074,318

Collatz Trajectory (257 steps to reach 1)

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

3,074,318 1,537,159 4,611,478 2,305,739 6,917,218 3,458,609 10,375,828 5,187,914 2,593,957 7,781,872 3,890,936 1,945,468 972,734 486,367 1,459,102 729,551 2,188,654 1,094,327 3,282,982 1,641,491 4,924,474 2,462,237 7,386,712 3,693,356 1,846,678 923,339 2,770,018 1,385,009 4,155,028 2,077,514 1,038,757 3,116,272 1,558,136 779,068 389,534 194,767 584,302 292,151 876,454 438,227 1,314,682 657,341 1,972,024 986,012 493,006 246,503 739,510 369,755 1,109,266 554,633 1,663,900 831,950 415,975 1,247,926 623,963 1,871,890 935,945 2,807,836 1,403,918 701,959

More profiles

← Previous Integer #3,074,317 Browse Full Index Next Integer #3,074,319 →