7,437,275

5² × 521 × 571

Starting at 7,437,275, the Collatz iteration reaches 1 after 310 steps. The first transition is 22311826; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 521 × 571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,256,104

Proper Divisor Sum 1,818,829

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7437217 ← → #7437293

Radix Representation

Decimal	7437275
Binary	11100010111101111011011 (23 bits)
Octal	0o34275733
Hexadecimal	0x717BDB

Divisor Catalog (12)

1 5 25 521 571 2,605 2,855 13,025 14,275 297,491 1,487,455 7,437,275

Collatz Trajectory (310 steps to reach 1)

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

7,437,275 22,311,826 11,155,913 33,467,740 16,733,870 8,366,935 25,100,806 12,550,403 37,651,210 18,825,605 56,476,816 28,238,408 14,119,204 7,059,602 3,529,801 10,589,404 5,294,702 2,647,351 7,942,054 3,971,027 11,913,082 5,956,541 17,869,624 8,934,812 4,467,406 2,233,703 6,701,110 3,350,555 10,051,666 5,025,833 15,077,500 7,538,750 3,769,375 11,308,126 5,654,063 16,962,190 8,481,095 25,443,286 12,721,643 38,164,930 19,082,465 57,247,396 28,623,698 14,311,849 42,935,548 21,467,774 10,733,887 32,201,662 16,100,831 48,302,494 24,151,247 72,453,742 36,226,871 108,680,614 54,340,307 163,020,922 81,510,461 244,531,384 122,265,692 61,132,846

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