3,507,845

5 × 11 × 23 × 47 × 59

Starting at 3,507,845, the Collatz iteration reaches 1 after 177 steps. The first transition is 10523536; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 47 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,976,640

Proper Divisor Sum 1,468,795

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3507841 ← → #3507877

Radix Representation

Decimal	3507845
Binary	1101011000011010000101 (22 bits)
Octal	0o15303205
Hexadecimal	0x358685

Divisor Catalog (32)

Collatz Trajectory (177 steps to reach 1)

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

3,507,845 10,523,536 5,261,768 2,630,884 1,315,442 657,721 1,973,164 986,582 493,291 1,479,874 739,937 2,219,812 1,109,906 554,953 1,664,860 832,430 416,215 1,248,646 624,323 1,872,970 936,485 2,809,456 1,404,728 702,364 351,182 175,591 526,774 263,387 790,162 395,081 1,185,244 592,622 296,311 888,934 444,467 1,333,402 666,701 2,000,104 1,000,052 500,026 250,013 750,040 375,020 187,510 93,755 281,266 140,633 421,900 210,950 105,475 316,426 158,213 474,640 237,320 118,660 59,330 29,665 88,996 44,498 22,249

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