7,525,611

3² × 17 × 101 × 487

Starting at 7,525,611, the Collatz iteration reaches 1 after 160 steps. The first transition is 22576834; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 101 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,647,584

Proper Divisor Sum 4,121,973

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7525601 ← → #7525613

Radix Representation

Decimal	7525611
Binary	11100101101010011101011 (23 bits)
Octal	0o34552353
Hexadecimal	0x72D4EB

Divisor Catalog (24)

1 3 9 17 51 101 153 303 487 909 1,461 1,717 4,383 5,151 8,279 15,453 24,837 49,187 74,511 147,561 442,683 836,179 2,508,537 7,525,611

Collatz Trajectory (160 steps to reach 1)

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

7,525,611 22,576,834 11,288,417 33,865,252 16,932,626 8,466,313 25,398,940 12,699,470 6,349,735 19,049,206 9,524,603 28,573,810 14,286,905 42,860,716 21,430,358 10,715,179 32,145,538 16,072,769 48,218,308 24,109,154 12,054,577 36,163,732 18,081,866 9,040,933 27,122,800 13,561,400 6,780,700 3,390,350 1,695,175 5,085,526 2,542,763 7,628,290 3,814,145 11,442,436 5,721,218 2,860,609 8,581,828 4,290,914 2,145,457 6,436,372 3,218,186 1,609,093 4,827,280 2,413,640 1,206,820 603,410 301,705 905,116 452,558 226,279 678,838 339,419 1,018,258 509,129 1,527,388 763,694 381,847 1,145,542 572,771 1,718,314

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