λ
Harmonic Matrix

1,798,519

1798519
Deficient Odd Prime

1,798,519 has digital root 4. The neighboring primes are 1798487 and 1798523; its proper-divisor sum differs from the starting integer by -1,798,518.

Prime Factor Structure

Factorization String 1798519
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,798,520
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1798487 ← → #1798523

Radix Representation

Decimal 1798519
Binary 110110111000101110111 (21 bits)
Octal 0o6670567
Hexadecimal 0x1B7177

Divisor Catalog (2)

Collatz Trajectory (114 steps to reach 1)

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

1,798,519 5,395,558 2,697,779 8,093,338 4,046,669 12,140,008 6,070,004 3,035,002 1,517,501 4,552,504 2,276,252 1,138,126 569,063 1,707,190 853,595 2,560,786 1,280,393 3,841,180 1,920,590 960,295 2,880,886 1,440,443 4,321,330 2,160,665 6,481,996 3,240,998 1,620,499 4,861,498 2,430,749 7,292,248 3,646,124 1,823,062 911,531 2,734,594 1,367,297 4,101,892 2,050,946 1,025,473 3,076,420 1,538,210 769,105 2,307,316 1,153,658 576,829 1,730,488 865,244 432,622 216,311 648,934 324,467 973,402 486,701 1,460,104 730,052 365,026 182,513 547,540 273,770 136,885 410,656

More profiles

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