1,178,152

2³ × 19 × 23 × 337

Starting at 1,178,152, the Collatz iteration reaches 1 after 67 steps. The first transition is 589076; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 23 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,433,600

Proper Divisor Sum 1,255,448

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1178141 ← → #1178159

Radix Representation

Decimal	1178152
Binary	100011111101000101000 (21 bits)
Octal	0o4375050
Hexadecimal	0x11FA28

Divisor Catalog (32)

1 2 4 8 19 23 38 46 76 92 152 184 337 437 674 874 1,348 1,748 2,696 3,496 6,403 7,751 12,806 15,502 25,612 31,004 51,224 62,008 147,269 294,538 589,076 1,178,152

Collatz Trajectory (67 steps to reach 1)

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

1,178,152 589,076 294,538 147,269 441,808 220,904 110,452 55,226 27,613 82,840 41,420 20,710 10,355 31,066 15,533 46,600 23,300 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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