7,918,390

2 × 5 × 59 × 13421

Starting at 7,918,390, the Collatz iteration reaches 1 after 168 steps. The first transition is 3959195; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 13421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,495,760

Proper Divisor Sum 6,577,370

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7918387 ← → #7918397

Radix Representation

Decimal	7918390
Binary	11110001101001100110110 (23 bits)
Octal	0o36151466
Hexadecimal	0x78D336

Divisor Catalog (16)

1 2 5 10 59 118 295 590 13,421 26,842 67,105 134,210 791,839 1,583,678 3,959,195 7,918,390

Collatz Trajectory (168 steps to reach 1)

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

7,918,390 3,959,195 11,877,586 5,938,793 17,816,380 8,908,190 4,454,095 13,362,286 6,681,143 20,043,430 10,021,715 30,065,146 15,032,573 45,097,720 22,548,860 11,274,430 5,637,215 16,911,646 8,455,823 25,367,470 12,683,735 38,051,206 19,025,603 57,076,810 28,538,405 85,615,216 42,807,608 21,403,804 10,701,902 5,350,951 16,052,854 8,026,427 24,079,282 12,039,641 36,118,924 18,059,462 9,029,731 27,089,194 13,544,597 40,633,792 20,316,896 10,158,448 5,079,224 2,539,612 1,269,806 634,903 1,904,710 952,355 2,857,066 1,428,533 4,285,600 2,142,800 1,071,400 535,700 267,850 133,925 401,776 200,888 100,444 50,222

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