λ
Harmonic Matrix

1,760,479

7 × 47 × 5351
Deficient Odd Composite

1,760,479 has digital root 7. The neighboring primes are 1760477 and 1760491; its proper-divisor sum differs from the starting integer by -1,465,790.

Prime Factor Structure

Factorization String 7 × 47 × 5351
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,055,168
Proper Divisor Sum 294,689
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1760477 ← → #1760491

Radix Representation

Decimal 1760479
Binary 110101101110011011111 (21 bits)
Octal 0o6556337
Hexadecimal 0x1ADCDF

Divisor Catalog (8)

1 7 47 329 5,351 37,457 251,497 1,760,479

Collatz Trajectory (96 steps to reach 1)

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

1,760,479 5,281,438 2,640,719 7,922,158 3,961,079 11,883,238 5,941,619 17,824,858 8,912,429 26,737,288 13,368,644 6,684,322 3,342,161 10,026,484 5,013,242 2,506,621 7,519,864 3,759,932 1,879,966 939,983 2,819,950 1,409,975 4,229,926 2,114,963 6,344,890 3,172,445 9,517,336 4,758,668 2,379,334 1,189,667 3,569,002 1,784,501 5,353,504 2,676,752 1,338,376 669,188 334,594 167,297 501,892 250,946 125,473 376,420 188,210 94,105 282,316 141,158 70,579 211,738 105,869 317,608 158,804 79,402 39,701 119,104 59,552 29,776 14,888 7,444 3,722 1,861

More profiles

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