7,420,527

3² × 431 × 1913

Starting at 7,420,527, the Collatz iteration reaches 1 after 217 steps. The first transition is 22261582; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 431 × 1913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,749,024

Proper Divisor Sum 3,328,497

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7420519 ← → #7420529

Radix Representation

Decimal	7420527
Binary	11100010011101001101111 (23 bits)
Octal	0o34235157
Hexadecimal	0x713A6F

Divisor Catalog (12)

1 3 9 431 1,293 1,913 3,879 5,739 17,217 824,503 2,473,509 7,420,527

Collatz Trajectory (217 steps to reach 1)

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

7,420,527 22,261,582 11,130,791 33,392,374 16,696,187 50,088,562 25,044,281 75,132,844 37,566,422 18,783,211 56,349,634 28,174,817 84,524,452 42,262,226 21,131,113 63,393,340 31,696,670 15,848,335 47,545,006 23,772,503 71,317,510 35,658,755 106,976,266 53,488,133 160,464,400 80,232,200 40,116,100 20,058,050 10,029,025 30,087,076 15,043,538 7,521,769 22,565,308 11,282,654 5,641,327 16,923,982 8,461,991 25,385,974 12,692,987 38,078,962 19,039,481 57,118,444 28,559,222 14,279,611 42,838,834 21,419,417 64,258,252 32,129,126 16,064,563 48,193,690 24,096,845 72,290,536 36,145,268 18,072,634 9,036,317 27,108,952 13,554,476 6,777,238 3,388,619 10,165,858

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