7,237,088

2⁵ × 23 × 9833

Starting at 7,237,088, the Collatz iteration reaches 1 after 160 steps. The first transition is 3618544; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 23 × 9833

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,869,008

Proper Divisor Sum 7,631,920

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7237067 ← → #7237091

Radix Representation

Decimal	7237088
Binary	11011100110110111100000 (23 bits)
Octal	0o33466740
Hexadecimal	0x6E6DE0

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 9,833 19,666 39,332 78,664 157,328 226,159 314,656 452,318 904,636 1,809,272 3,618,544 7,237,088

Collatz Trajectory (160 steps to reach 1)

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

7,237,088 3,618,544 1,809,272 904,636 452,318 226,159 678,478 339,239 1,017,718 508,859 1,526,578 763,289 2,289,868 1,144,934 572,467 1,717,402 858,701 2,576,104 1,288,052 644,026 322,013 966,040 483,020 241,510 120,755 362,266 181,133 543,400 271,700 135,850 67,925 203,776 101,888 50,944 25,472 12,736 6,368 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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