λ
Harmonic Matrix

7,104,156

22 × 3 × 263 × 2251
Abundant Even Composite

7,104,156 has digital root 6. The neighboring primes are 7104143 and 7104179; its proper-divisor sum differs from the starting integer by 2,438,472.

Prime Factor Structure

Factorization String 2^2 × 3 × 263 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,646,784
Proper Divisor Sum 9,542,628
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7104143 ← → #7104179

Radix Representation

Decimal 7104156
Binary 11011000110011010011100 (23 bits)
Octal 0o33063234
Hexadecimal 0x6C669C

Divisor Catalog (24)

1 2 3 4 6 12 263 526 789 1,052 1,578 2,251 3,156 4,502 6,753 9,004 13,506 27,012 592,013 1,184,026 1,776,039 2,368,052 3,552,078 7,104,156

Collatz Trajectory (147 steps to reach 1)

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

7,104,156 3,552,078 1,776,039 5,328,118 2,664,059 7,992,178 3,996,089 11,988,268 5,994,134 2,997,067 8,991,202 4,495,601 13,486,804 6,743,402 3,371,701 10,115,104 5,057,552 2,528,776 1,264,388 632,194 316,097 948,292 474,146 237,073 711,220 355,610 177,805 533,416 266,708 133,354 66,677 200,032 100,016 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076

More profiles

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