λ
Harmonic Matrix

8,401,070

2 × 5 × 157 × 5351
Deficient Even Composite

8,401,070 has digital root 2. The neighboring primes are 8401061 and 8401087; its proper-divisor sum differs from the starting integer by -1,581,052.

Prime Factor Structure

Factorization String 2 × 5 × 157 × 5351
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,221,088
Proper Divisor Sum 6,820,018
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8401061 ← → #8401087

Radix Representation

Decimal 8401070
Binary 100000000011000010101110 (24 bits)
Octal 0o40030256
Hexadecimal 0x8030AE

Divisor Catalog (16)

1 2 5 10 157 314 785 1,570 5,351 10,702 26,755 53,510 840,107 1,680,214 4,200,535 8,401,070

Collatz Trajectory (243 steps to reach 1)

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

8,401,070 4,200,535 12,601,606 6,300,803 18,902,410 9,451,205 28,353,616 14,176,808 7,088,404 3,544,202 1,772,101 5,316,304 2,658,152 1,329,076 664,538 332,269 996,808 498,404 249,202 124,601 373,804 186,902 93,451 280,354 140,177 420,532 210,266 105,133 315,400 157,700 78,850 39,425 118,276 59,138 29,569 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296

More profiles

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