7,772,151

3 × 2590717

Starting at 7,772,151, the Collatz iteration reaches 1 after 217 steps. The first transition is 23316454; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2590717

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,362,872

Proper Divisor Sum 2,590,721

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7772143 ← → #7772173

Radix Representation

Decimal	7772151
Binary	11101101001011111110111 (23 bits)
Octal	0o35513767
Hexadecimal	0x7697F7

Divisor Catalog (4)

1 3 2,590,717 7,772,151

Collatz Trajectory (217 steps to reach 1)

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

7,772,151 23,316,454 11,658,227 34,974,682 17,487,341 52,462,024 26,231,012 13,115,506 6,557,753 19,673,260 9,836,630 4,918,315 14,754,946 7,377,473 22,132,420 11,066,210 5,533,105 16,599,316 8,299,658 4,149,829 12,449,488 6,224,744 3,112,372 1,556,186 778,093 2,334,280 1,167,140 583,570 291,785 875,356 437,678 218,839 656,518 328,259 984,778 492,389 1,477,168 738,584 369,292 184,646 92,323 276,970 138,485 415,456 207,728 103,864 51,932 25,966 12,983 38,950 19,475 58,426 29,213 87,640 43,820 21,910 10,955 32,866 16,433 49,300

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