λ
Harmonic Matrix

2,307,723

3 × 11 × 69931
Deficient Odd Composite

2,307,723 has digital root 6. The neighboring primes are 2307709 and 2307757; its proper-divisor sum differs from the starting integer by -1,258,710.

Prime Factor Structure

Factorization String 3 × 11 × 69931
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,356,736
Proper Divisor Sum 1,049,013
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2307709 ← → #2307757

Radix Representation

Decimal 2307723
Binary 1000110011011010001011 (22 bits)
Octal 0o10633213
Hexadecimal 0x23368B

Divisor Catalog (8)

1 3 11 33 69,931 209,793 769,241 2,307,723

Collatz Trajectory (99 steps to reach 1)

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

2,307,723 6,923,170 3,461,585 10,384,756 5,192,378 2,596,189 7,788,568 3,894,284 1,947,142 973,571 2,920,714 1,460,357 4,381,072 2,190,536 1,095,268 547,634 273,817 821,452 410,726 205,363 616,090 308,045 924,136 462,068 231,034 115,517 346,552 173,276 86,638 43,319 129,958 64,979 194,938 97,469 292,408 146,204 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440

More profiles

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