7,626,015

3³ × 5 × 56489

Starting at 7,626,015, the Collatz iteration reaches 1 after 155 steps. The first transition is 22878046; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 56489

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,557,600

Proper Divisor Sum 5,931,585

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7625987 ← → #7626023

Radix Representation

Decimal	7626015
Binary	11101000101110100011111 (23 bits)
Octal	0o35056437
Hexadecimal	0x745D1F

Divisor Catalog (16)

1 3 5 9 15 27 45 135 56,489 169,467 282,445 508,401 847,335 1,525,203 2,542,005 7,626,015

Collatz Trajectory (155 steps to reach 1)

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

7,626,015 22,878,046 11,439,023 34,317,070 17,158,535 51,475,606 25,737,803 77,213,410 38,606,705 115,820,116 57,910,058 28,955,029 86,865,088 43,432,544 21,716,272 10,858,136 5,429,068 2,714,534 1,357,267 4,071,802 2,035,901 6,107,704 3,053,852 1,526,926 763,463 2,290,390 1,145,195 3,435,586 1,717,793 5,153,380 2,576,690 1,288,345 3,865,036 1,932,518 966,259 2,898,778 1,449,389 4,348,168 2,174,084 1,087,042 543,521 1,630,564 815,282 407,641 1,222,924 611,462 305,731 917,194 458,597 1,375,792 687,896 343,948 171,974 85,987 257,962 128,981 386,944 193,472 96,736 48,368

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