λ
Harmonic Matrix

2,961,263

1423 × 2081
Deficient Odd Composite

2,961,263 has digital root 2. The neighboring primes are 2961253 and 2961271; its proper-divisor sum differs from the starting integer by -2,957,758.

Prime Factor Structure

Factorization String 1423 × 2081
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,964,768
Proper Divisor Sum 3,505
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2961253 ← → #2961271

Radix Representation

Decimal 2961263
Binary 1011010010111101101111 (22 bits)
Octal 0o13227557
Hexadecimal 0x2D2F6F

Divisor Catalog (4)

1 1,423 2,081 2,961,263

Collatz Trajectory (120 steps to reach 1)

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

2,961,263 8,883,790 4,441,895 13,325,686 6,662,843 19,988,530 9,994,265 29,982,796 14,991,398 7,495,699 22,487,098 11,243,549 33,730,648 16,865,324 8,432,662 4,216,331 12,648,994 6,324,497 18,973,492 9,486,746 4,743,373 14,230,120 7,115,060 3,557,530 1,778,765 5,336,296 2,668,148 1,334,074 667,037 2,001,112 1,000,556 500,278 250,139 750,418 375,209 1,125,628 562,814 281,407 844,222 422,111 1,266,334 633,167 1,899,502 949,751 2,849,254 1,424,627 4,273,882 2,136,941 6,410,824 3,205,412 1,602,706 801,353 2,404,060 1,202,030 601,015 1,803,046 901,523 2,704,570 1,352,285 4,056,856

More profiles

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