7,615,609

17 × 347 × 1291

Starting at 7,615,609, the Collatz iteration reaches 1 after 155 steps. The first transition is 22846828; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 347 × 1291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,093,088

Proper Divisor Sum 477,479

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7615607 ← → #7615649

Radix Representation

Decimal	7615609
Binary	11101000011010001111001 (23 bits)
Octal	0o35032171
Hexadecimal	0x743479

Divisor Catalog (8)

1 17 347 1,291 5,899 21,947 447,977 7,615,609

Collatz Trajectory (155 steps to reach 1)

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

7,615,609 22,846,828 11,423,414 5,711,707 17,135,122 8,567,561 25,702,684 12,851,342 6,425,671 19,277,014 9,638,507 28,915,522 14,457,761 43,373,284 21,686,642 10,843,321 32,529,964 16,264,982 8,132,491 24,397,474 12,198,737 36,596,212 18,298,106 9,149,053 27,447,160 13,723,580 6,861,790 3,430,895 10,292,686 5,146,343 15,439,030 7,719,515 23,158,546 11,579,273 34,737,820 17,368,910 8,684,455 26,053,366 13,026,683 39,080,050 19,540,025 58,620,076 29,310,038 14,655,019 43,965,058 21,982,529 65,947,588 32,973,794 16,486,897 49,460,692 24,730,346 12,365,173 37,095,520 18,547,760 9,273,880 4,636,940 2,318,470 1,159,235 3,477,706 1,738,853

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