λ
Harmonic Matrix

2,156,599

2156599
Deficient Odd Prime

2,156,599 has digital root 1. The neighboring primes are 2156597 and 2156617; its proper-divisor sum differs from the starting integer by -2,156,598.

Prime Factor Structure

Factorization String 2156599
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,156,600
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2156597 ← → #2156617

Radix Representation

Decimal 2156599
Binary 1000001110100000110111 (22 bits)
Octal 0o10164067
Hexadecimal 0x20E837

Divisor Catalog (2)

Collatz Trajectory (316 steps to reach 1)

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

2,156,599 6,469,798 3,234,899 9,704,698 4,852,349 14,557,048 7,278,524 3,639,262 1,819,631 5,458,894 2,729,447 8,188,342 4,094,171 12,282,514 6,141,257 18,423,772 9,211,886 4,605,943 13,817,830 6,908,915 20,726,746 10,363,373 31,090,120 15,545,060 7,772,530 3,886,265 11,658,796 5,829,398 2,914,699 8,744,098 4,372,049 13,116,148 6,558,074 3,279,037 9,837,112 4,918,556 2,459,278 1,229,639 3,688,918 1,844,459 5,533,378 2,766,689 8,300,068 4,150,034 2,075,017 6,225,052 3,112,526 1,556,263 4,668,790 2,334,395 7,003,186 3,501,593 10,504,780 5,252,390 2,626,195 7,878,586 3,939,293 11,817,880 5,908,940 2,954,470

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