λ
Harmonic Matrix

3,696,647

73 × 79 × 641
Deficient Odd Composite

3,696,647 has digital root 5. The neighboring primes are 3696643 and 3696703; its proper-divisor sum differs from the starting integer by -3,592,654.

Prime Factor Structure

Factorization String 73 × 79 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,800,640
Proper Divisor Sum 103,993
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3696643 ← → #3696703

Radix Representation

Decimal 3696647
Binary 1110000110100000000111 (22 bits)
Octal 0o16064007
Hexadecimal 0x386807

Divisor Catalog (8)

1 73 79 641 5,767 46,793 50,639 3,696,647

Collatz Trajectory (79 steps to reach 1)

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

3,696,647 11,089,942 5,544,971 16,634,914 8,317,457 24,952,372 12,476,186 6,238,093 18,714,280 9,357,140 4,678,570 2,339,285 7,017,856 3,508,928 1,754,464 877,232 438,616 219,308 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112

More profiles

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