7,837,537

193 × 40609

Starting at 7,837,537, the Collatz iteration reaches 1 after 155 steps. The first transition is 23512612; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 193 × 40609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,878,340

Proper Divisor Sum 40,803

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7837517 ← → #7837541

Radix Representation

Decimal	7837537
Binary	11101111001011101100001 (23 bits)
Octal	0o35713541
Hexadecimal	0x779761

Divisor Catalog (4)

1 193 40,609 7,837,537

Collatz Trajectory (155 steps to reach 1)

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

7,837,537 23,512,612 11,756,306 5,878,153 17,634,460 8,817,230 4,408,615 13,225,846 6,612,923 19,838,770 9,919,385 29,758,156 14,879,078 7,439,539 22,318,618 11,159,309 33,477,928 16,738,964 8,369,482 4,184,741 12,554,224 6,277,112 3,138,556 1,569,278 784,639 2,353,918 1,176,959 3,530,878 1,765,439 5,296,318 2,648,159 7,944,478 3,972,239 11,916,718 5,958,359 17,875,078 8,937,539 26,812,618 13,406,309 40,218,928 20,109,464 10,054,732 5,027,366 2,513,683 7,541,050 3,770,525 11,311,576 5,655,788 2,827,894 1,413,947 4,241,842 2,120,921 6,362,764 3,181,382 1,590,691 4,772,074 2,386,037 7,158,112 3,579,056 1,789,528

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