2,915,409

3 × 7 × 138829

Starting at 2,915,409, the Collatz iteration reaches 1 after 288 steps. The first transition is 8746228; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 138829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,442,560

Proper Divisor Sum 1,527,151

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2915369 ← → #2915413

Radix Representation

Decimal	2915409
Binary	1011000111110001010001 (22 bits)
Octal	0o13076121
Hexadecimal	0x2C7C51

Divisor Catalog (8)

1 3 7 21 138,829 416,487 971,803 2,915,409

Collatz Trajectory (288 steps to reach 1)

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

2,915,409 8,746,228 4,373,114 2,186,557 6,559,672 3,279,836 1,639,918 819,959 2,459,878 1,229,939 3,689,818 1,844,909 5,534,728 2,767,364 1,383,682 691,841 2,075,524 1,037,762 518,881 1,556,644 778,322 389,161 1,167,484 583,742 291,871 875,614 437,807 1,313,422 656,711 1,970,134 985,067 2,955,202 1,477,601 4,432,804 2,216,402 1,108,201 3,324,604 1,662,302 831,151 2,493,454 1,246,727 3,740,182 1,870,091 5,610,274 2,805,137 8,415,412 4,207,706 2,103,853 6,311,560 3,155,780 1,577,890 788,945 2,366,836 1,183,418 591,709 1,775,128 887,564 443,782 221,891 665,674

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