7,535,608

2³ × 349 × 2699

Starting at 7,535,608, the Collatz iteration reaches 1 after 111 steps. The first transition is 3767804; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 349 × 2699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,175,000

Proper Divisor Sum 6,639,392

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7535603 ← → #7535617

Radix Representation

Decimal	7535608
Binary	11100101111101111111000 (23 bits)
Octal	0o34575770
Hexadecimal	0x72FBF8

Divisor Catalog (16)

1 2 4 8 349 698 1,396 2,699 2,792 5,398 10,796 21,592 941,951 1,883,902 3,767,804 7,535,608

Collatz Trajectory (111 steps to reach 1)

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

7,535,608 3,767,804 1,883,902 941,951 2,825,854 1,412,927 4,238,782 2,119,391 6,358,174 3,179,087 9,537,262 4,768,631 14,305,894 7,152,947 21,458,842 10,729,421 32,188,264 16,094,132 8,047,066 4,023,533 12,070,600 6,035,300 3,017,650 1,508,825 4,526,476 2,263,238 1,131,619 3,394,858 1,697,429 5,092,288 2,546,144 1,273,072 636,536 318,268 159,134 79,567 238,702 119,351 358,054 179,027 537,082 268,541 805,624 402,812 201,406 100,703 302,110 151,055 453,166 226,583 679,750 339,875 1,019,626 509,813 1,529,440 764,720 382,360 191,180 95,590 47,795

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