λ
Harmonic Matrix

9,701,566

2 × 7 × 692969
Deficient Even Composite

9,701,566 has digital root 7. The neighboring primes are 9701563 and 9701567; its proper-divisor sum differs from the starting integer by -2,771,852.

Prime Factor Structure

Factorization String 2 × 7 × 692969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,631,280
Proper Divisor Sum 6,929,714
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9701563 ← → #9701567

Radix Representation

Decimal 9701566
Binary 100101000000100010111110 (24 bits)
Octal 0o45004276
Hexadecimal 0x9408BE

Divisor Catalog (8)

1 2 7 14 692,969 1,385,938 4,850,783 9,701,566

Collatz Trajectory (176 steps to reach 1)

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

9,701,566 4,850,783 14,552,350 7,276,175 21,828,526 10,914,263 32,742,790 16,371,395 49,114,186 24,557,093 73,671,280 36,835,640 18,417,820 9,208,910 4,604,455 13,813,366 6,906,683 20,720,050 10,360,025 31,080,076 15,540,038 7,770,019 23,310,058 11,655,029 34,965,088 17,482,544 8,741,272 4,370,636 2,185,318 1,092,659 3,277,978 1,638,989 4,916,968 2,458,484 1,229,242 614,621 1,843,864 921,932 460,966 230,483 691,450 345,725 1,037,176 518,588 259,294 129,647 388,942 194,471 583,414 291,707 875,122 437,561 1,312,684 656,342 328,171 984,514 492,257 1,476,772 738,386 369,193

More profiles

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