λ
Harmonic Matrix

1,636,461

32 × 349 × 521
Deficient Odd Composite

1,636,461 has digital root 9. The neighboring primes are 1636457 and 1636463; its proper-divisor sum differs from the starting integer by -897,822.

Prime Factor Structure

Factorization String 3^2 × 349 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,375,100
Proper Divisor Sum 738,639
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1636457 ← → #1636463

Radix Representation

Decimal 1636461
Binary 110001111100001101101 (21 bits)
Octal 0o6174155
Hexadecimal 0x18F86D

Divisor Catalog (12)

1 3 9 349 521 1,047 1,563 3,141 4,689 181,829 545,487 1,636,461

Collatz Trajectory (145 steps to reach 1)

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

1,636,461 4,909,384 2,454,692 1,227,346 613,673 1,841,020 920,510 460,255 1,380,766 690,383 2,071,150 1,035,575 3,106,726 1,553,363 4,660,090 2,330,045 6,990,136 3,495,068 1,747,534 873,767 2,621,302 1,310,651 3,931,954 1,965,977 5,897,932 2,948,966 1,474,483 4,423,450 2,211,725 6,635,176 3,317,588 1,658,794 829,397 2,488,192 1,244,096 622,048 311,024 155,512 77,756 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279

More profiles

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