λ
Harmonic Matrix

1,129,717

1129717
Deficient Odd Prime

1,129,717 has digital root 1. The neighboring primes are 1129699 and 1129729; its proper-divisor sum differs from the starting integer by -1,129,716.

Prime Factor Structure

Factorization String 1129717
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,129,718
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1129699 ← → #1129729

Radix Representation

Decimal 1129717
Binary 100010011110011110101 (21 bits)
Octal 0o4236365
Hexadecimal 0x113CF5

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

1,129,717 3,389,152 1,694,576 847,288 423,644 211,822 105,911 317,734 158,867 476,602 238,301 714,904 357,452 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724 190,862 95,431 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166

More profiles

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