7,355,288

2³ × 17 × 54083

Starting at 7,355,288, the Collatz iteration reaches 1 after 160 steps. The first transition is 3677644; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 54083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,602,680

Proper Divisor Sum 7,247,392

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7355281 ← → #7355303

Radix Representation

Decimal	7355288
Binary	11100000011101110011000 (23 bits)
Octal	0o34035630
Hexadecimal	0x703B98

Divisor Catalog (16)

1 2 4 8 17 34 68 136 54,083 108,166 216,332 432,664 919,411 1,838,822 3,677,644 7,355,288

Collatz Trajectory (160 steps to reach 1)

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

7,355,288 3,677,644 1,838,822 919,411 2,758,234 1,379,117 4,137,352 2,068,676 1,034,338 517,169 1,551,508 775,754 387,877 1,163,632 581,816 290,908 145,454 72,727 218,182 109,091 327,274 163,637 490,912 245,456 122,728 61,364 30,682 15,341 46,024 23,012 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297

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