7,590,823

17 × 19 × 71 × 331

Starting at 7,590,823, the Collatz iteration reaches 1 after 248 steps. The first transition is 22772470; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 17 × 19 × 71 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,605,440

Proper Divisor Sum 1,014,617

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7590811 ← → #7590827

Radix Representation

Decimal	7590823
Binary	11100111101001110100111 (23 bits)
Octal	0o34751647
Hexadecimal	0x73D3A7

Divisor Catalog (16)

1 17 19 71 323 331 1,207 1,349 5,627 6,289 22,933 23,501 106,913 399,517 446,519 7,590,823

Collatz Trajectory (248 steps to reach 1)

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

7,590,823 22,772,470 11,386,235 34,158,706 17,079,353 51,238,060 25,619,030 12,809,515 38,428,546 19,214,273 57,642,820 28,821,410 14,410,705 43,232,116 21,616,058 10,808,029 32,424,088 16,212,044 8,106,022 4,053,011 12,159,034 6,079,517 18,238,552 9,119,276 4,559,638 2,279,819 6,839,458 3,419,729 10,259,188 5,129,594 2,564,797 7,694,392 3,847,196 1,923,598 961,799 2,885,398 1,442,699 4,328,098 2,164,049 6,492,148 3,246,074 1,623,037 4,869,112 2,434,556 1,217,278 608,639 1,825,918 912,959 2,738,878 1,369,439 4,108,318 2,054,159 6,162,478 3,081,239 9,243,718 4,621,859 13,865,578 6,932,789 20,798,368 10,399,184

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