λ
Harmonic Matrix

1,888,167

3 × 83 × 7583
Deficient Odd Composite

1,888,167 has digital root 3. The neighboring primes are 1888157 and 1888169; its proper-divisor sum differs from the starting integer by -1,228,110.

Prime Factor Structure

Factorization String 3 × 83 × 7583
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,548,224
Proper Divisor Sum 660,057
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1888157 ← → #1888169

Radix Representation

Decimal 1888167
Binary 111001100111110100111 (21 bits)
Octal 0o7147647
Hexadecimal 0x1CCFA7

Divisor Catalog (8)

1 3 83 249 7,583 22,749 629,389 1,888,167

Collatz Trajectory (109 steps to reach 1)

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

1,888,167 5,664,502 2,832,251 8,496,754 4,248,377 12,745,132 6,372,566 3,186,283 9,558,850 4,779,425 14,338,276 7,169,138 3,584,569 10,753,708 5,376,854 2,688,427 8,065,282 4,032,641 12,097,924 6,048,962 3,024,481 9,073,444 4,536,722 2,268,361 6,805,084 3,402,542 1,701,271 5,103,814 2,551,907 7,655,722 3,827,861 11,483,584 5,741,792 2,870,896 1,435,448 717,724 358,862 179,431 538,294 269,147 807,442 403,721 1,211,164 605,582 302,791 908,374 454,187 1,362,562 681,281 2,043,844 1,021,922 510,961 1,532,884 766,442 383,221 1,149,664 574,832 287,416 143,708 71,854

More profiles

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