λ
Harmonic Matrix

1,352,127

3 × 7 × 312 × 67
Deficient Odd Composite

1,352,127 has digital root 3. The neighboring primes are 1352123 and 1352149; its proper-divisor sum differs from the starting integer by -543,486.

Prime Factor Structure

Factorization String 3 × 7 × 31^2 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,160,768
Proper Divisor Sum 808,641
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1352123 ← → #1352149

Radix Representation

Decimal 1352127
Binary 101001010000110111111 (21 bits)
Octal 0o5120677
Hexadecimal 0x14A1BF

Divisor Catalog (24)

1 3 7 21 31 67 93 201 217 469 651 961 1,407 2,077 2,883 6,231 6,727 14,539 20,181 43,617 64,387 193,161 450,709 1,352,127

Collatz Trajectory (292 steps to reach 1)

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

1,352,127 4,056,382 2,028,191 6,084,574 3,042,287 9,126,862 4,563,431 13,690,294 6,845,147 20,535,442 10,267,721 30,803,164 15,401,582 7,700,791 23,102,374 11,551,187 34,653,562 17,326,781 51,980,344 25,990,172 12,995,086 6,497,543 19,492,630 9,746,315 29,238,946 14,619,473 43,858,420 21,929,210 10,964,605 32,893,816 16,446,908 8,223,454 4,111,727 12,335,182 6,167,591 18,502,774 9,251,387 27,754,162 13,877,081 41,631,244 20,815,622 10,407,811 31,223,434 15,611,717 46,835,152 23,417,576 11,708,788 5,854,394 2,927,197 8,781,592 4,390,796 2,195,398 1,097,699 3,293,098 1,646,549 4,939,648 2,469,824 1,234,912 617,456 308,728

More profiles

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