2,792,505

3 × 5 × 17 × 47 × 233

Starting at 2,792,505, the Collatz iteration reaches 1 after 138 steps. The first transition is 8377516; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 47 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,852,224

Proper Divisor Sum 2,059,719

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2792483 ← → #2792509

Radix Representation

Decimal	2792505
Binary	1010101001110000111001 (22 bits)
Octal	0o12516071
Hexadecimal	0x2A9C39

Divisor Catalog (32)

1 3 5 15 17 47 51 85 141 233 235 255 699 705 799 1,165 2,397 3,495 3,961 3,995 10,951 11,883 11,985 19,805 32,853 54,755 59,415 164,265 186,167 558,501 930,835 2,792,505

Collatz Trajectory (138 steps to reach 1)

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

2,792,505 8,377,516 4,188,758 2,094,379 6,283,138 3,141,569 9,424,708 4,712,354 2,356,177 7,068,532 3,534,266 1,767,133 5,301,400 2,650,700 1,325,350 662,675 1,988,026 994,013 2,982,040 1,491,020 745,510 372,755 1,118,266 559,133 1,677,400 838,700 419,350 209,675 629,026 314,513 943,540 471,770 235,885 707,656 353,828 176,914 88,457 265,372 132,686 66,343 199,030 99,515 298,546 149,273 447,820 223,910 111,955 335,866 167,933 503,800 251,900 125,950 62,975 188,926 94,463 283,390 141,695 425,086 212,543 637,630

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