7,075,624

2³ × 884453

Starting at 7,075,624, the Collatz iteration reaches 1 after 72 steps. The first transition is 3537812; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 884453

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,266,810

Proper Divisor Sum 6,191,186

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7075613 ← → #7075633

Radix Representation

Decimal	7075624
Binary	11010111111011100101000 (23 bits)
Octal	0o32773450
Hexadecimal	0x6BF728

Divisor Catalog (8)

1 2 4 8 884,453 1,768,906 3,537,812 7,075,624

Collatz Trajectory (72 steps to reach 1)

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

7,075,624 3,537,812 1,768,906 884,453 2,653,360 1,326,680 663,340 331,670 165,835 497,506 248,753 746,260 373,130 186,565 559,696 279,848 139,924 69,962 34,981 104,944 52,472 26,236 13,118 6,559 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208

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