7,626,440

2³ × 5 × 37 × 5153

Starting at 7,626,440, the Collatz iteration reaches 1 after 142 steps. The first transition is 3813220; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 5153

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,626,680

Proper Divisor Sum 10,000,240

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7626413 ← → #7626469

Radix Representation

Decimal	7626440
Binary	11101000101111011001000 (23 bits)
Octal	0o35057310
Hexadecimal	0x745EC8

Divisor Catalog (32)

1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1,480 5,153 10,306 20,612 25,765 41,224 51,530 103,060 190,661 206,120 381,322 762,644 953,305 1,525,288 1,906,610 3,813,220 7,626,440

Collatz Trajectory (142 steps to reach 1)

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

7,626,440 3,813,220 1,906,610 953,305 2,859,916 1,429,958 714,979 2,144,938 1,072,469 3,217,408 1,608,704 804,352 402,176 201,088 100,544 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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