λ
Harmonic Matrix

2,536,381

2536381
Deficient Odd Prime

2,536,381 has digital root 1. The neighboring primes are 2536379 and 2536393; its proper-divisor sum differs from the starting integer by -2,536,380.

Prime Factor Structure

Factorization String 2536381
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,536,382
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2536379 ← → #2536393

Radix Representation

Decimal 2536381
Binary 1001101011001110111101 (22 bits)
Octal 0o11531675
Hexadecimal 0x26B3BD

Divisor Catalog (2)

1 2,536,381

Collatz Trajectory (104 steps to reach 1)

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

2,536,381 7,609,144 3,804,572 1,902,286 951,143 2,853,430 1,426,715 4,280,146 2,140,073 6,420,220 3,210,110 1,605,055 4,815,166 2,407,583 7,222,750 3,611,375 10,834,126 5,417,063 16,251,190 8,125,595 24,376,786 12,188,393 36,565,180 18,282,590 9,141,295 27,423,886 13,711,943 41,135,830 20,567,915 61,703,746 30,851,873 92,555,620 46,277,810 23,138,905 69,416,716 34,708,358 17,354,179 52,062,538 26,031,269 78,093,808 39,046,904 19,523,452 9,761,726 4,880,863 14,642,590 7,321,295 21,963,886 10,981,943 32,945,830 16,472,915 49,418,746 24,709,373 74,128,120 37,064,060 18,532,030 9,266,015 27,798,046 13,899,023 41,697,070 20,848,535

More profiles

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