λ
Harmonic Matrix

2,168,601

3 × 23 × 53 × 593
Deficient Odd Composite

2,168,601 has digital root 6. The neighboring primes are 2168599 and 2168609; its proper-divisor sum differs from the starting integer by -1,257,906.

Prime Factor Structure

Factorization String 3 × 23 × 53 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,079,296
Proper Divisor Sum 910,695
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2168599 ← → #2168609

Radix Representation

Decimal 2168601
Binary 1000010001011100011001 (22 bits)
Octal 0o10213431
Hexadecimal 0x211719

Divisor Catalog (16)

1 3 23 53 69 159 593 1,219 1,779 3,657 13,639 31,429 40,917 94,287 722,867 2,168,601

Collatz Trajectory (148 steps to reach 1)

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

2,168,601 6,505,804 3,252,902 1,626,451 4,879,354 2,439,677 7,319,032 3,659,516 1,829,758 914,879 2,744,638 1,372,319 4,116,958 2,058,479 6,175,438 3,087,719 9,263,158 4,631,579 13,894,738 6,947,369 20,842,108 10,421,054 5,210,527 15,631,582 7,815,791 23,447,374 11,723,687 35,171,062 17,585,531 52,756,594 26,378,297 79,134,892 39,567,446 19,783,723 59,351,170 29,675,585 89,026,756 44,513,378 22,256,689 66,770,068 33,385,034 16,692,517 50,077,552 25,038,776 12,519,388 6,259,694 3,129,847 9,389,542 4,694,771 14,084,314 7,042,157 21,126,472 10,563,236 5,281,618 2,640,809 7,922,428 3,961,214 1,980,607 5,941,822 2,970,911

More profiles

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