3,615,448

2³ × 53 × 8527

Starting at 3,615,448, the Collatz iteration reaches 1 after 141 steps. The first transition is 1807724; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 53 × 8527

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,907,680

Proper Divisor Sum 3,292,232

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3615433 ← → #3615449

Radix Representation

Decimal	3615448
Binary	1101110010101011011000 (22 bits)
Octal	0o15625330
Hexadecimal	0x372AD8

Divisor Catalog (16)

1 2 4 8 53 106 212 424 8,527 17,054 34,108 68,216 451,931 903,862 1,807,724 3,615,448

Collatz Trajectory (141 steps to reach 1)

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

3,615,448 1,807,724 903,862 451,931 1,355,794 677,897 2,033,692 1,016,846 508,423 1,525,270 762,635 2,287,906 1,143,953 3,431,860 1,715,930 857,965 2,573,896 1,286,948 643,474 321,737 965,212 482,606 241,303 723,910 361,955 1,085,866 542,933 1,628,800 814,400 407,200 203,600 101,800 50,900 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827

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