1,011,507

3 × 7³ × 983

1,011,507 is odd and not a perfect square. Its factorization is 3 × 7^3 × 983 and its 16 divisors sum to 1,574,400.

Prime Factor Structure

Factorization String 3 × 7^3 × 983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,574,400

Proper Divisor Sum 562,893

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1011443 ← → #1011509

Radix Representation

Decimal	1011507
Binary	11110110111100110011 (20 bits)
Octal	0o3667463
Hexadecimal	0xF6F33

Divisor Catalog (16)

1 3 7 21 49 147 343 983 1,029 2,949 6,881 20,643 48,167 144,501 337,169 1,011,507

Collatz Trajectory (196 steps to reach 1)

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

1,011,507 3,034,522 1,517,261 4,551,784 2,275,892 1,137,946 568,973 1,706,920 853,460 426,730 213,365 640,096 320,048 160,024 80,012 40,006 20,003 60,010 30,005 90,016 45,008 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546

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