λ
Harmonic Matrix

2,402,726

2 × 199 × 6037
Deficient Even Composite

2,402,726 has digital root 5. The neighboring primes are 2402707 and 2402731; its proper-divisor sum differs from the starting integer by -1,182,652.

Prime Factor Structure

Factorization String 2 × 199 × 6037
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,622,800
Proper Divisor Sum 1,220,074
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2402707 ← → #2402731

Radix Representation

Decimal 2402726
Binary 1001001010100110100110 (22 bits)
Octal 0o11124646
Hexadecimal 0x24A9A6

Divisor Catalog (8)

1 2 199 398 6,037 12,074 1,201,363 2,402,726

Collatz Trajectory (236 steps to reach 1)

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

2,402,726 1,201,363 3,604,090 1,802,045 5,406,136 2,703,068 1,351,534 675,767 2,027,302 1,013,651 3,040,954 1,520,477 4,561,432 2,280,716 1,140,358 570,179 1,710,538 855,269 2,565,808 1,282,904 641,452 320,726 160,363 481,090 240,545 721,636 360,818 180,409 541,228 270,614 135,307 405,922 202,961 608,884 304,442 152,221 456,664 228,332 114,166 57,083 171,250 85,625 256,876 128,438 64,219 192,658 96,329 288,988 144,494 72,247 216,742 108,371 325,114 162,557 487,672 243,836 121,918 60,959 182,878 91,439

More profiles

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