λ
Harmonic Matrix

6,145,948

22 × 1536487
Deficient Even Composite

6,145,948 has digital root 1. The neighboring primes are 6145927 and 6145961; its proper-divisor sum differs from the starting integer by -1,536,480.

Prime Factor Structure

Factorization String 2^2 × 1536487
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,755,416
Proper Divisor Sum 4,609,468
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6145927 ← → #6145961

Radix Representation

Decimal 6145948
Binary 10111011100011110011100 (23 bits)
Octal 0o27343634
Hexadecimal 0x5DC79C

Divisor Catalog (6)

1 2 4 1,536,487 3,072,974 6,145,948

Collatz Trajectory (227 steps to reach 1)

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

6,145,948 3,072,974 1,536,487 4,609,462 2,304,731 6,914,194 3,457,097 10,371,292 5,185,646 2,592,823 7,778,470 3,889,235 11,667,706 5,833,853 17,501,560 8,750,780 4,375,390 2,187,695 6,563,086 3,281,543 9,844,630 4,922,315 14,766,946 7,383,473 22,150,420 11,075,210 5,537,605 16,612,816 8,306,408 4,153,204 2,076,602 1,038,301 3,114,904 1,557,452 778,726 389,363 1,168,090 584,045 1,752,136 876,068 438,034 219,017 657,052 328,526 164,263 492,790 246,395 739,186 369,593 1,108,780 554,390 277,195 831,586 415,793 1,247,380 623,690 311,845 935,536 467,768 233,884

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