λ
Harmonic Matrix

1,013,681

1013681
Deficient Odd Prime

1,013,681 has digital root 2. The neighboring primes are 1013671 and 1013687; its proper-divisor sum differs from the starting integer by -1,013,680.

Prime Factor Structure

Factorization String 1013681
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,013,682
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1013671 ← → #1013687

Radix Representation

Decimal 1013681
Binary 11110111011110110001 (20 bits)
Octal 0o3673661
Hexadecimal 0xF77B1

Divisor Catalog (2)

Collatz Trajectory (152 steps to reach 1)

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

1,013,681 3,041,044 1,520,522 760,261 2,280,784 1,140,392 570,196 285,098 142,549 427,648 213,824 106,912 53,456 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182

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