7,532,956

2² × 1093 × 1723

Starting at 7,532,956, the Collatz iteration reaches 1 after 310 steps. The first transition is 3766478; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1093 × 1723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,202,392

Proper Divisor Sum 5,669,436

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7532933 ← → #7532957

Radix Representation

Decimal	7532956
Binary	11100101111000110011100 (23 bits)
Octal	0o34570634
Hexadecimal	0x72F19C

Divisor Catalog (12)

1 2 4 1,093 1,723 2,186 3,446 4,372 6,892 1,883,239 3,766,478 7,532,956

Collatz Trajectory (310 steps to reach 1)

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

7,532,956 3,766,478 1,883,239 5,649,718 2,824,859 8,474,578 4,237,289 12,711,868 6,355,934 3,177,967 9,533,902 4,766,951 14,300,854 7,150,427 21,451,282 10,725,641 32,176,924 16,088,462 8,044,231 24,132,694 12,066,347 36,199,042 18,099,521 54,298,564 27,149,282 13,574,641 40,723,924 20,361,962 10,180,981 30,542,944 15,271,472 7,635,736 3,817,868 1,908,934 954,467 2,863,402 1,431,701 4,295,104 2,147,552 1,073,776 536,888 268,444 134,222 67,111 201,334 100,667 302,002 151,001 453,004 226,502 113,251 339,754 169,877 509,632 254,816 127,408 63,704 31,852 15,926 7,963

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