7,531,464

2³ × 3 × 109 × 2879

Starting at 7,531,464, the Collatz iteration reaches 1 after 142 steps. The first transition is 3765732; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 109 × 2879

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,008,000

Proper Divisor Sum 11,476,536

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7531457 ← → #7531477

Radix Representation

Decimal	7531464
Binary	11100101110101111001000 (23 bits)
Octal	0o34565710
Hexadecimal	0x72EBC8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 109 218 327 436 654 872 1,308 2,616 2,879 5,758 8,637 11,516 17,274 23,032 34,548 69,096 313,811 627,622 941,433 1,255,244 1,882,866 2,510,488 3,765,732 7,531,464

Collatz Trajectory (142 steps to reach 1)

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

7,531,464 3,765,732 1,882,866 941,433 2,824,300 1,412,150 706,075 2,118,226 1,059,113 3,177,340 1,588,670 794,335 2,383,006 1,191,503 3,574,510 1,787,255 5,361,766 2,680,883 8,042,650 4,021,325 12,063,976 6,031,988 3,015,994 1,507,997 4,523,992 2,261,996 1,130,998 565,499 1,696,498 848,249 2,544,748 1,272,374 636,187 1,908,562 954,281 2,862,844 1,431,422 715,711 2,147,134 1,073,567 3,220,702 1,610,351 4,831,054 2,415,527 7,246,582 3,623,291 10,869,874 5,434,937 16,304,812 8,152,406 4,076,203 12,228,610 6,114,305 18,342,916 9,171,458 4,585,729 13,757,188 6,878,594 3,439,297 10,317,892

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