7,632,078

2 × 3 × 149 × 8537

Starting at 7,632,078, the Collatz iteration reaches 1 after 310 steps. The first transition is 3816039; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 149 × 8537

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,368,400

Proper Divisor Sum 7,736,322

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7632059 ← → #7632083

Radix Representation

Decimal	7632078
Binary	11101000111010011001110 (23 bits)
Octal	0o35072316
Hexadecimal	0x7474CE

Divisor Catalog (16)

1 2 3 6 149 298 447 894 8,537 17,074 25,611 51,222 1,272,013 2,544,026 3,816,039 7,632,078

Collatz Trajectory (310 steps to reach 1)

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

7,632,078 3,816,039 11,448,118 5,724,059 17,172,178 8,586,089 25,758,268 12,879,134 6,439,567 19,318,702 9,659,351 28,978,054 14,489,027 43,467,082 21,733,541 65,200,624 32,600,312 16,300,156 8,150,078 4,075,039 12,225,118 6,112,559 18,337,678 9,168,839 27,506,518 13,753,259 41,259,778 20,629,889 61,889,668 30,944,834 15,472,417 46,417,252 23,208,626 11,604,313 34,812,940 17,406,470 8,703,235 26,109,706 13,054,853 39,164,560 19,582,280 9,791,140 4,895,570 2,447,785 7,343,356 3,671,678 1,835,839 5,507,518 2,753,759 8,261,278 4,130,639 12,391,918 6,195,959 18,587,878 9,293,939 27,881,818 13,940,909 41,822,728 20,911,364 10,455,682

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