λ
Harmonic Matrix

1,789,355

5 × 113 × 3167
Deficient Odd Composite

1,789,355 has digital root 2. The neighboring primes are 1789349 and 1789367; its proper-divisor sum differs from the starting integer by -1,411,798.

Prime Factor Structure

Factorization String 5 × 113 × 3167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,166,912
Proper Divisor Sum 377,557
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1789349 ← → #1789367

Radix Representation

Decimal 1789355
Binary 110110100110110101011 (21 bits)
Octal 0o6646653
Hexadecimal 0x1B4DAB

Divisor Catalog (8)

1 5 113 565 3,167 15,835 357,871 1,789,355

Collatz Trajectory (96 steps to reach 1)

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

1,789,355 5,368,066 2,684,033 8,052,100 4,026,050 2,013,025 6,039,076 3,019,538 1,509,769 4,529,308 2,264,654 1,132,327 3,396,982 1,698,491 5,095,474 2,547,737 7,643,212 3,821,606 1,910,803 5,732,410 2,866,205 8,598,616 4,299,308 2,149,654 1,074,827 3,224,482 1,612,241 4,836,724 2,418,362 1,209,181 3,627,544 1,813,772 906,886 453,443 1,360,330 680,165 2,040,496 1,020,248 510,124 255,062 127,531 382,594 191,297 573,892 286,946 143,473 430,420 215,210 107,605 322,816 161,408 80,704 40,352 20,176 10,088 5,044 2,522 1,261 3,784 1,892

More profiles

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