λ
Harmonic Matrix

1,470,777

3 × 7 × 11 × 6367
Deficient Odd Composite

1,470,777 has digital root 6. The neighboring primes are 1470757 and 1470797; its proper-divisor sum differs from the starting integer by -496,242.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 6367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,445,312
Proper Divisor Sum 974,535
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1470757 ← → #1470797

Radix Representation

Decimal 1470777
Binary 101100111000100111001 (21 bits)
Octal 0o5470471
Hexadecimal 0x167139

Divisor Catalog (16)

1 3 7 11 21 33 77 231 6,367 19,101 44,569 70,037 133,707 210,111 490,259 1,470,777

Collatz Trajectory (181 steps to reach 1)

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

1,470,777 4,412,332 2,206,166 1,103,083 3,309,250 1,654,625 4,963,876 2,481,938 1,240,969 3,722,908 1,861,454 930,727 2,792,182 1,396,091 4,188,274 2,094,137 6,282,412 3,141,206 1,570,603 4,711,810 2,355,905 7,067,716 3,533,858 1,766,929 5,300,788 2,650,394 1,325,197 3,975,592 1,987,796 993,898 496,949 1,490,848 745,424 372,712 186,356 93,178 46,589 139,768 69,884 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329

More profiles

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