7,457,365

5 × 53 × 107 × 263

Starting at 7,457,365, the Collatz iteration reaches 1 after 111 steps. The first transition is 22372096; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 53 × 107 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,237,888

Proper Divisor Sum 1,780,523

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7457357 ← → #7457371

Radix Representation

Decimal	7457365
Binary	11100011100101001010101 (23 bits)
Octal	0o34345125
Hexadecimal	0x71CA55

Divisor Catalog (16)

1 5 53 107 263 265 535 1,315 5,671 13,939 28,141 28,355 69,695 140,705 1,491,473 7,457,365

Collatz Trajectory (111 steps to reach 1)

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

7,457,365 22,372,096 11,186,048 5,593,024 2,796,512 1,398,256 699,128 349,564 174,782 87,391 262,174 131,087 393,262 196,631 589,894 294,947 884,842 442,421 1,327,264 663,632 331,816 165,908 82,954 41,477 124,432 62,216 31,108 15,554 7,777 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316

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