7,801,157

7 × 13 × 59 × 1453

Starting at 7,801,157, the Collatz iteration reaches 1 after 67 steps. The first transition is 23403472; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 59 × 1453

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,770,880

Proper Divisor Sum 1,969,723

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7801141 ← → #7801159

Radix Representation

Decimal	7801157
Binary	11101110000100101000101 (23 bits)
Octal	0o35604505
Hexadecimal	0x770945

Divisor Catalog (16)

1 7 13 59 91 413 767 1,453 5,369 10,171 18,889 85,727 132,223 600,089 1,114,451 7,801,157

Collatz Trajectory (67 steps to reach 1)

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

7,801,157 23,403,472 11,701,736 5,850,868 2,925,434 1,462,717 4,388,152 2,194,076 1,097,038 548,519 1,645,558 822,779 2,468,338 1,234,169 3,702,508 1,851,254 925,627 2,776,882 1,388,441 4,165,324 2,082,662 1,041,331 3,123,994 1,561,997 4,685,992 2,342,996 1,171,498 585,749 1,757,248 878,624 439,312 219,656 109,828 54,914 27,457 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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